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Finding the Fourth Proportional to 302,030.83, 416,804.12 and 166,073.54

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Solution

The fourth proportional to 302,030.83, 416,804.12 and 166,073.54 is: 229,182.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,030.83 : 416,804.12 = 166,073.54 : x
  2. Step 2: Convert to fraction form
    302,030.83/416,804.12 = 166,073.54/x
  3. Step 3: Cross multiply
    302,030.83x = 416,804.12 × 166,073.54
  4. Step 4: Simplify right side
    302,030.83x = 69,220,134,195.56
  5. Step 5: Solve for x
    x = 69,220,134,195.56/302,030.83
  6. Step 6: Final answer
    x = 229,182.34

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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.