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Finding the Fourth Proportional to 98,851.88, 136,414.32 and 56,411.12

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Solution

The fourth proportional to 98,851.88, 136,414.32 and 56,411.12 is: 77,846.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,851.88 : 136,414.32 = 56,411.12 : x
  2. Step 2: Convert to fraction form
    98,851.88/136,414.32 = 56,411.12/x
  3. Step 3: Cross multiply
    98,851.88x = 136,414.32 × 56,411.12
  4. Step 4: Simplify right side
    98,851.88x = 7,695,284,575.24
  5. Step 5: Solve for x
    x = 7,695,284,575.24/98,851.88
  6. Step 6: Final answer
    x = 77,846.62

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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.