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Finding the Fourth Proportional to 232,284.70, 348,191.70 and 157,412.35

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Solution

The fourth proportional to 232,284.70, 348,191.70 and 157,412.35 is: 235,959.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,284.70 : 348,191.70 = 157,412.35 : x
  2. Step 2: Convert to fraction form
    232,284.70/348,191.70 = 157,412.35/x
  3. Step 3: Cross multiply
    232,284.70x = 348,191.70 × 157,412.35
  4. Step 4: Simplify right side
    232,284.70x = 54,809,673,747.50
  5. Step 5: Solve for x
    x = 54,809,673,747.50/232,284.70
  6. Step 6: Final answer
    x = 235,959.04

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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.