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Finding the Fourth Proportional to 102,592.80, 153,986.40 and 87,818.40

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Solution

The fourth proportional to 102,592.80, 153,986.40 and 87,818.40 is: 131,810.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,592.80 : 153,986.40 = 87,818.40 : x
  2. Step 2: Convert to fraction form
    102,592.80/153,986.40 = 87,818.40/x
  3. Step 3: Cross multiply
    102,592.80x = 153,986.40 × 87,818.40
  4. Step 4: Simplify right side
    102,592.80x = 13,522,839,269.76
  5. Step 5: Solve for x
    x = 13,522,839,269.76/102,592.80
  6. Step 6: Final answer
    x = 131,810.80

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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.