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Finding the Fourth Proportional to 232,574.68, 348,881.10 and 99,456.04

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Solution

The fourth proportional to 232,574.68, 348,881.10 and 99,456.04 is: 149,192.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,574.68 : 348,881.10 = 99,456.04 : x
  2. Step 2: Convert to fraction form
    232,574.68/348,881.10 = 99,456.04/x
  3. Step 3: Cross multiply
    232,574.68x = 348,881.10 × 99,456.04
  4. Step 4: Simplify right side
    232,574.68x = 34,698,332,636.84
  5. Step 5: Solve for x
    x = 34,698,332,636.84/232,574.68
  6. Step 6: Final answer
    x = 149,192.22

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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.