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Finding the Fourth Proportional to 119,059.98, 164,302.65 and 65,345.13

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Solution

The fourth proportional to 119,059.98, 164,302.65 and 65,345.13 is: 90,176.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,059.98 : 164,302.65 = 65,345.13 : x
  2. Step 2: Convert to fraction form
    119,059.98/164,302.65 = 65,345.13/x
  3. Step 3: Cross multiply
    119,059.98x = 164,302.65 × 65,345.13
  4. Step 4: Simplify right side
    119,059.98x = 10,736,378,023.59
  5. Step 5: Solve for x
    x = 10,736,378,023.59/119,059.98
  6. Step 6: Final answer
    x = 90,176.21

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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.