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Finding the Fourth Proportional to 257,532.66, 355,385.21 and 142,816.01

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Solution

The fourth proportional to 257,532.66, 355,385.21 and 142,816.01 is: 197,080.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,532.66 : 355,385.21 = 142,816.01 : x
  2. Step 2: Convert to fraction form
    257,532.66/355,385.21 = 142,816.01/x
  3. Step 3: Cross multiply
    257,532.66x = 355,385.21 × 142,816.01
  4. Step 4: Simplify right side
    257,532.66x = 50,754,695,214.21
  5. Step 5: Solve for x
    x = 50,754,695,214.21/257,532.66
  6. Step 6: Final answer
    x = 197,080.62

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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.