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Finding the Fourth Proportional to 102,158.20, 153,237.30 and 78,830.20

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Solution

The fourth proportional to 102,158.20, 153,237.30 and 78,830.20 is: 118,245.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,158.20 : 153,237.30 = 78,830.20 : x
  2. Step 2: Convert to fraction form
    102,158.20/153,237.30 = 78,830.20/x
  3. Step 3: Cross multiply
    102,158.20x = 153,237.30 × 78,830.20
  4. Step 4: Simplify right side
    102,158.20x = 12,079,727,006.46
  5. Step 5: Solve for x
    x = 12,079,727,006.46/102,158.20
  6. Step 6: Final answer
    x = 118,245.30

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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.