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Finding the Fourth Proportional to 102,611.60, 153,744.60 and 96,390.80

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Solution

The fourth proportional to 102,611.60, 153,744.60 and 96,390.80 is: 144,423.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,611.60 : 153,744.60 = 96,390.80 : x
  2. Step 2: Convert to fraction form
    102,611.60/153,744.60 = 96,390.80/x
  3. Step 3: Cross multiply
    102,611.60x = 153,744.60 × 96,390.80
  4. Step 4: Simplify right side
    102,611.60x = 14,819,564,989.68
  5. Step 5: Solve for x
    x = 14,819,564,989.68/102,611.60
  6. Step 6: Final answer
    x = 144,423.88

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Why These Related Problems?

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