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Finding the Fourth Proportional to 99,071.93, 148,354.16 and 54,649.31

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Solution

The fourth proportional to 99,071.93, 148,354.16 and 54,649.31 is: 81,834.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,071.93 : 148,354.16 = 54,649.31 : x
  2. Step 2: Convert to fraction form
    99,071.93/148,354.16 = 54,649.31/x
  3. Step 3: Cross multiply
    99,071.93x = 148,354.16 × 54,649.31
  4. Step 4: Simplify right side
    99,071.93x = 8,107,451,464.61
  5. Step 5: Solve for x
    x = 8,107,451,464.61/99,071.93
  6. Step 6: Final answer
    x = 81,834.00

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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.