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Finding the Fourth Proportional to 257,711.34, 355,640.58 and 144,534.18

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Solution

The fourth proportional to 257,711.34, 355,640.58 and 144,534.18 is: 199,456.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,711.34 : 355,640.58 = 144,534.18 : x
  2. Step 2: Convert to fraction form
    257,711.34/355,640.58 = 144,534.18/x
  3. Step 3: Cross multiply
    257,711.34x = 355,640.58 × 144,534.18
  4. Step 4: Simplify right side
    257,711.34x = 51,402,219,605.02
  5. Step 5: Solve for x
    x = 51,402,219,605.02/257,711.34
  6. Step 6: Final answer
    x = 199,456.57

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