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Finding the Fourth Proportional to 233,211.38, 349,782.21 and 64,713.96

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Solution

The fourth proportional to 233,211.38, 349,782.21 and 64,713.96 is: 97,061.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,211.38 : 349,782.21 = 64,713.96 : x
  2. Step 2: Convert to fraction form
    233,211.38/349,782.21 = 64,713.96/x
  3. Step 3: Cross multiply
    233,211.38x = 349,782.21 × 64,713.96
  4. Step 4: Simplify right side
    233,211.38x = 22,635,791,946.65
  5. Step 5: Solve for x
    x = 22,635,791,946.65/233,211.38
  6. Step 6: Final answer
    x = 97,061.27

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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.