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Finding the Fourth Proportional to 257,984.12, 355,998.54 and 144,785

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Solution

The fourth proportional to 257,984.12, 355,998.54 and 144,785 is: 199,792.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,984.12 : 355,998.54 = 144,785 : x
  2. Step 2: Convert to fraction form
    257,984.12/355,998.54 = 144,785/x
  3. Step 3: Cross multiply
    257,984.12x = 355,998.54 × 144,785
  4. Step 4: Simplify right side
    257,984.12x = 51,543,248,613.90
  5. Step 5: Solve for x
    x = 51,543,248,613.90/257,984.12
  6. Step 6: Final answer
    x = 199,792.33

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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.