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Finding the Fourth Proportional to 120,781.60, 181,172.40 and 75,875.20

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Solution

The fourth proportional to 120,781.60, 181,172.40 and 75,875.20 is: 113,812.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,781.60 : 181,172.40 = 75,875.20 : x
  2. Step 2: Convert to fraction form
    120,781.60/181,172.40 = 75,875.20/x
  3. Step 3: Cross multiply
    120,781.60x = 181,172.40 × 75,875.20
  4. Step 4: Simplify right side
    120,781.60x = 13,746,492,084.48
  5. Step 5: Solve for x
    x = 13,746,492,084.48/120,781.60
  6. Step 6: Final answer
    x = 113,812.80

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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.