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Finding the Fourth Proportional to 258,790.92, 357,130.74 and 145,613.68

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Solution

The fourth proportional to 258,790.92, 357,130.74 and 145,613.68 is: 200,946.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,790.92 : 357,130.74 = 145,613.68 : x
  2. Step 2: Convert to fraction form
    258,790.92/357,130.74 = 145,613.68/x
  3. Step 3: Cross multiply
    258,790.92x = 357,130.74 × 145,613.68
  4. Step 4: Simplify right side
    258,790.92x = 52,003,121,292.52
  5. Step 5: Solve for x
    x = 52,003,121,292.52/258,790.92
  6. Step 6: Final answer
    x = 200,946.47

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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.