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Finding the Fourth Proportional to 233,071.20, 349,614.12 and 75,301.08

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Solution

The fourth proportional to 233,071.20, 349,614.12 and 75,301.08 is: 112,953.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,071.20 : 349,614.12 = 75,301.08 : x
  2. Step 2: Convert to fraction form
    233,071.20/349,614.12 = 75,301.08/x
  3. Step 3: Cross multiply
    233,071.20x = 349,614.12 × 75,301.08
  4. Step 4: Simplify right side
    233,071.20x = 26,326,320,819.25
  5. Step 5: Solve for x
    x = 26,326,320,819.25/233,071.20
  6. Step 6: Final answer
    x = 112,953.98

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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.