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Finding the Fourth Proportional to 246,200.88, 369,294.84 and 77,714.40

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Solution

The fourth proportional to 246,200.88, 369,294.84 and 77,714.40 is: 116,569.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,200.88 : 369,294.84 = 77,714.40 : x
  2. Step 2: Convert to fraction form
    246,200.88/369,294.84 = 77,714.40/x
  3. Step 3: Cross multiply
    246,200.88x = 369,294.84 × 77,714.40
  4. Step 4: Simplify right side
    246,200.88x = 28,699,526,913.70
  5. Step 5: Solve for x
    x = 28,699,526,913.70/246,200.88
  6. Step 6: Final answer
    x = 116,569.55

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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.