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Finding the Fourth Proportional to 232,123.68, 348,209.76 and 99,018

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Solution

The fourth proportional to 232,123.68, 348,209.76 and 99,018 is: 148,537.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,123.68 : 348,209.76 = 99,018 : x
  2. Step 2: Convert to fraction form
    232,123.68/348,209.76 = 99,018/x
  3. Step 3: Cross multiply
    232,123.68x = 348,209.76 × 99,018
  4. Step 4: Simplify right side
    232,123.68x = 34,479,034,015.68
  5. Step 5: Solve for x
    x = 34,479,034,015.68/232,123.68
  6. Step 6: Final answer
    x = 148,537.34

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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.