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Finding the Fourth Proportional to 103,572.30, 155,358.45 and 85,857.60

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Solution

The fourth proportional to 103,572.30, 155,358.45 and 85,857.60 is: 128,786.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,572.30 : 155,358.45 = 85,857.60 : x
  2. Step 2: Convert to fraction form
    103,572.30/155,358.45 = 85,857.60/x
  3. Step 3: Cross multiply
    103,572.30x = 155,358.45 × 85,857.60
  4. Step 4: Simplify right side
    103,572.30x = 13,338,703,656.72
  5. Step 5: Solve for x
    x = 13,338,703,656.72/103,572.30
  6. Step 6: Final answer
    x = 128,786.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.