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Finding the Fourth Proportional to 157,909.89, 236,902.01 and 51,293.51

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Solution

The fourth proportional to 157,909.89, 236,902.01 and 51,293.51 is: 76,952.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,909.89 : 236,902.01 = 51,293.51 : x
  2. Step 2: Convert to fraction form
    157,909.89/236,902.01 = 51,293.51/x
  3. Step 3: Cross multiply
    157,909.89x = 236,902.01 × 51,293.51
  4. Step 4: Simplify right side
    157,909.89x = 12,151,536,339.44
  5. Step 5: Solve for x
    x = 12,151,536,339.44/157,909.89
  6. Step 6: Final answer
    x = 76,952.35

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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.