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Finding the Fourth Proportional to 257,140.13, 354,841.47 and 142,411.01

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Solution

The fourth proportional to 257,140.13, 354,841.47 and 142,411.01 is: 196,520.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,140.13 : 354,841.47 = 142,411.01 : x
  2. Step 2: Convert to fraction form
    257,140.13/354,841.47 = 142,411.01/x
  3. Step 3: Cross multiply
    257,140.13x = 354,841.47 × 142,411.01
  4. Step 4: Simplify right side
    257,140.13x = 50,533,330,358.38
  5. Step 5: Solve for x
    x = 50,533,330,358.38/257,140.13
  6. Step 6: Final answer
    x = 196,520.59

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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.