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Finding the Fourth Proportional to 233,221.50, 349,833.06 and 64,755

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Solution

The fourth proportional to 233,221.50, 349,833.06 and 64,755 is: 97,132.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,221.50 : 349,833.06 = 64,755 : x
  2. Step 2: Convert to fraction form
    233,221.50/349,833.06 = 64,755/x
  3. Step 3: Cross multiply
    233,221.50x = 349,833.06 × 64,755
  4. Step 4: Simplify right side
    233,221.50x = 22,653,439,800.30
  5. Step 5: Solve for x
    x = 22,653,439,800.30/233,221.50
  6. Step 6: Final answer
    x = 97,132.72

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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.