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Finding the Fourth Proportional to 233,006.76, 349,452.18 and 99,871.92

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Solution

The fourth proportional to 233,006.76, 349,452.18 and 99,871.92 is: 149,783.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,006.76 : 349,452.18 = 99,871.92 : x
  2. Step 2: Convert to fraction form
    233,006.76/349,452.18 = 99,871.92/x
  3. Step 3: Cross multiply
    233,006.76x = 349,452.18 × 99,871.92
  4. Step 4: Simplify right side
    233,006.76x = 34,900,460,164.79
  5. Step 5: Solve for x
    x = 34,900,460,164.79/233,006.76
  6. Step 6: Final answer
    x = 149,783.04

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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.