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Finding the Fourth Proportional to 232,493.50, 348,743.50 and 66,281.50

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Solution

The fourth proportional to 232,493.50, 348,743.50 and 66,281.50 is: 99,423.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,493.50 : 348,743.50 = 66,281.50 : x
  2. Step 2: Convert to fraction form
    232,493.50/348,743.50 = 66,281.50/x
  3. Step 3: Cross multiply
    232,493.50x = 348,743.50 × 66,281.50
  4. Step 4: Simplify right side
    232,493.50x = 23,115,242,295.25
  5. Step 5: Solve for x
    x = 23,115,242,295.25/232,493.50
  6. Step 6: Final answer
    x = 99,423.18

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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.