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Finding the Fourth Proportional to 233,237.80, 349,899.90 and 75,471.40

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Solution

The fourth proportional to 233,237.80, 349,899.90 and 75,471.40 is: 113,221.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,237.80 : 349,899.90 = 75,471.40 : x
  2. Step 2: Convert to fraction form
    233,237.80/349,899.90 = 75,471.40/x
  3. Step 3: Cross multiply
    233,237.80x = 349,899.90 × 75,471.40
  4. Step 4: Simplify right side
    233,237.80x = 26,407,435,312.86
  5. Step 5: Solve for x
    x = 26,407,435,312.86/233,237.80
  6. Step 6: Final answer
    x = 113,221.08

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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.