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Finding the Fourth Proportional to 233,421.90, 349,729.65 and 108,506.70

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Solution

The fourth proportional to 233,421.90, 349,729.65 and 108,506.70 is: 162,572.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,421.90 : 349,729.65 = 108,506.70 : x
  2. Step 2: Convert to fraction form
    233,421.90/349,729.65 = 108,506.70/x
  3. Step 3: Cross multiply
    233,421.90x = 349,729.65 × 108,506.70
  4. Step 4: Simplify right side
    233,421.90x = 37,948,010,213.66
  5. Step 5: Solve for x
    x = 37,948,010,213.66/233,421.90
  6. Step 6: Final answer
    x = 162,572.62

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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.