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Finding the Fourth Proportional to 105,121.60, 157,682.40 and 86,459.20

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Solution

The fourth proportional to 105,121.60, 157,682.40 and 86,459.20 is: 129,688.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,121.60 : 157,682.40 = 86,459.20 : x
  2. Step 2: Convert to fraction form
    105,121.60/157,682.40 = 86,459.20/x
  3. Step 3: Cross multiply
    105,121.60x = 157,682.40 × 86,459.20
  4. Step 4: Simplify right side
    105,121.60x = 13,633,094,158.08
  5. Step 5: Solve for x
    x = 13,633,094,158.08/105,121.60
  6. Step 6: Final answer
    x = 129,688.80

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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.