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Finding the Fourth Proportional to 302,003.80, 416,768.06 and 166,038.72

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Solution

The fourth proportional to 302,003.80, 416,768.06 and 166,038.72 is: 229,134.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,003.80 : 416,768.06 = 166,038.72 : x
  2. Step 2: Convert to fraction form
    302,003.80/416,768.06 = 166,038.72/x
  3. Step 3: Cross multiply
    302,003.80x = 416,768.06 × 166,038.72
  4. Step 4: Simplify right side
    302,003.80x = 69,199,635,219.28
  5. Step 5: Solve for x
    x = 69,199,635,219.28/302,003.80
  6. Step 6: Final answer
    x = 229,134.98

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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.