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Finding the Fourth Proportional to 102,130.20, 152,903.70 and 78,607.80

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Solution

The fourth proportional to 102,130.20, 152,903.70 and 78,607.80 is: 117,687.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,130.20 : 152,903.70 = 78,607.80 : x
  2. Step 2: Convert to fraction form
    102,130.20/152,903.70 = 78,607.80/x
  3. Step 3: Cross multiply
    102,130.20x = 152,903.70 × 78,607.80
  4. Step 4: Simplify right side
    102,130.20x = 12,019,423,468.86
  5. Step 5: Solve for x
    x = 12,019,423,468.86/102,130.20
  6. Step 6: Final answer
    x = 117,687.26

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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.