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Finding the Fourth Proportional to 232,543.48, 348,851.78 and 99,424.44

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Solution

The fourth proportional to 232,543.48, 348,851.78 and 99,424.44 is: 149,152.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,543.48 : 348,851.78 = 99,424.44 : x
  2. Step 2: Convert to fraction form
    232,543.48/348,851.78 = 99,424.44/x
  3. Step 3: Cross multiply
    232,543.48x = 348,851.78 × 99,424.44
  4. Step 4: Simplify right side
    232,543.48x = 34,684,392,869.50
  5. Step 5: Solve for x
    x = 34,684,392,869.50/232,543.48
  6. Step 6: Final answer
    x = 149,152.29

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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.