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Finding the Fourth Proportional to 232,657.69, 348,988.35 and 127,419.25

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Solution

The fourth proportional to 232,657.69, 348,988.35 and 127,419.25 is: 191,129.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,657.69 : 348,988.35 = 127,419.25 : x
  2. Step 2: Convert to fraction form
    232,657.69/348,988.35 = 127,419.25/x
  3. Step 3: Cross multiply
    232,657.69x = 348,988.35 × 127,419.25
  4. Step 4: Simplify right side
    232,657.69x = 44,467,833,815.74
  5. Step 5: Solve for x
    x = 44,467,833,815.74/232,657.69
  6. Step 6: Final answer
    x = 191,129.87

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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.