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Finding the Fourth Proportional to 99,095.70, 148,543.77 and 56,963.15

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Solution

The fourth proportional to 99,095.70, 148,543.77 and 56,963.15 is: 85,387.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,095.70 : 148,543.77 = 56,963.15 : x
  2. Step 2: Convert to fraction form
    99,095.70/148,543.77 = 56,963.15/x
  3. Step 3: Cross multiply
    99,095.70x = 148,543.77 × 56,963.15
  4. Step 4: Simplify right side
    99,095.70x = 8,461,521,080.01
  5. Step 5: Solve for x
    x = 8,461,521,080.01/99,095.70
  6. Step 6: Final answer
    x = 85,387.37

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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.