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Finding the Fourth Proportional to 102,155.20, 153,232.80 and 78,827.20

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Solution

The fourth proportional to 102,155.20, 153,232.80 and 78,827.20 is: 118,240.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,155.20 : 153,232.80 = 78,827.20 : x
  2. Step 2: Convert to fraction form
    102,155.20/153,232.80 = 78,827.20/x
  3. Step 3: Cross multiply
    102,155.20x = 153,232.80 × 78,827.20
  4. Step 4: Simplify right side
    102,155.20x = 12,078,912,572.16
  5. Step 5: Solve for x
    x = 12,078,912,572.16/102,155.20
  6. Step 6: Final answer
    x = 118,240.80

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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.