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Finding the Fourth Proportional to 98,594.26, 136,084.26 and 56,177.80

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Solution

The fourth proportional to 98,594.26, 136,084.26 and 56,177.80 is: 77,539.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,594.26 : 136,084.26 = 56,177.80 : x
  2. Step 2: Convert to fraction form
    98,594.26/136,084.26 = 56,177.80/x
  3. Step 3: Cross multiply
    98,594.26x = 136,084.26 × 56,177.80
  4. Step 4: Simplify right side
    98,594.26x = 7,644,914,341.43
  5. Step 5: Solve for x
    x = 7,644,914,341.43/98,594.26
  6. Step 6: Final answer
    x = 77,539.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.