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Finding the Fourth Proportional to 175,705.92, 242,448 and 99,223.49

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Solution

The fourth proportional to 175,705.92, 242,448 and 99,223.49 is: 136,913.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,705.92 : 242,448 = 99,223.49 : x
  2. Step 2: Convert to fraction form
    175,705.92/242,448 = 99,223.49/x
  3. Step 3: Cross multiply
    175,705.92x = 242,448 × 99,223.49
  4. Step 4: Simplify right side
    175,705.92x = 24,056,535,491.28
  5. Step 5: Solve for x
    x = 24,056,535,491.28/175,705.92
  6. Step 6: Final answer
    x = 136,913.63

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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.