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Finding the Fourth Proportional to 232,802.70, 348,911.78 and 99,526.34

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Solution

The fourth proportional to 232,802.70, 348,911.78 and 99,526.34 is: 149,164.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,802.70 : 348,911.78 = 99,526.34 : x
  2. Step 2: Convert to fraction form
    232,802.70/348,911.78 = 99,526.34/x
  3. Step 3: Cross multiply
    232,802.70x = 348,911.78 × 99,526.34
  4. Step 4: Simplify right side
    232,802.70x = 34,725,912,446.29
  5. Step 5: Solve for x
    x = 34,725,912,446.29/232,802.70
  6. Step 6: Final answer
    x = 149,164.56

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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.