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Finding the Fourth Proportional to 302,051.46, 416,835.90 and 166,091.34

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Solution

The fourth proportional to 302,051.46, 416,835.90 and 166,091.34 is: 229,208.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,051.46 : 416,835.90 = 166,091.34 : x
  2. Step 2: Convert to fraction form
    302,051.46/416,835.90 = 166,091.34/x
  3. Step 3: Cross multiply
    302,051.46x = 416,835.90 × 166,091.34
  4. Step 4: Simplify right side
    302,051.46x = 69,232,833,191.11
  5. Step 5: Solve for x
    x = 69,232,833,191.11/302,051.46
  6. Step 6: Final answer
    x = 229,208.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.