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Finding the Fourth Proportional to 99,257.92, 148,803.12 and 43,055.68

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Solution

The fourth proportional to 99,257.92, 148,803.12 and 43,055.68 is: 64,547.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,257.92 : 148,803.12 = 43,055.68 : x
  2. Step 2: Convert to fraction form
    99,257.92/148,803.12 = 43,055.68/x
  3. Step 3: Cross multiply
    99,257.92x = 148,803.12 × 43,055.68
  4. Step 4: Simplify right side
    99,257.92x = 6,406,819,517.72
  5. Step 5: Solve for x
    x = 6,406,819,517.72/99,257.92
  6. Step 6: Final answer
    x = 64,547.19

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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.