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Finding the Fourth Proportional to 145,857.60, 200,777.76 and 125,781.12

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Solution

The fourth proportional to 145,857.60, 200,777.76 and 125,781.12 is: 173,141.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,857.60 : 200,777.76 = 125,781.12 : x
  2. Step 2: Convert to fraction form
    145,857.60/200,777.76 = 125,781.12/x
  3. Step 3: Cross multiply
    145,857.60x = 200,777.76 × 125,781.12
  4. Step 4: Simplify right side
    145,857.60x = 25,254,051,523.89
  5. Step 5: Solve for x
    x = 25,254,051,523.89/145,857.60
  6. Step 6: Final answer
    x = 173,141.83

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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.