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Finding the Fourth Proportional to 102,160.80, 153,356.40 and 78,890.40

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Solution

The fourth proportional to 102,160.80, 153,356.40 and 78,890.40 is: 118,424.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,160.80 : 153,356.40 = 78,890.40 : x
  2. Step 2: Convert to fraction form
    102,160.80/153,356.40 = 78,890.40/x
  3. Step 3: Cross multiply
    102,160.80x = 153,356.40 × 78,890.40
  4. Step 4: Simplify right side
    102,160.80x = 12,098,347,738.56
  5. Step 5: Solve for x
    x = 12,098,347,738.56/102,160.80
  6. Step 6: Final answer
    x = 118,424.56

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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.