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Finding the Fourth Proportional to 99,336.84, 148,831.92 and 82,803.12

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Solution

The fourth proportional to 99,336.84, 148,831.92 and 82,803.12 is: 124,060.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,336.84 : 148,831.92 = 82,803.12 : x
  2. Step 2: Convert to fraction form
    99,336.84/148,831.92 = 82,803.12/x
  3. Step 3: Cross multiply
    99,336.84x = 148,831.92 × 82,803.12
  4. Step 4: Simplify right side
    99,336.84x = 12,323,747,331.59
  5. Step 5: Solve for x
    x = 12,323,747,331.59/99,336.84
  6. Step 6: Final answer
    x = 124,060.19

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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.