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Finding the Fourth Proportional to 232,254, 348,439.50 and 66,042

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Solution

The fourth proportional to 232,254, 348,439.50 and 66,042 is: 99,079.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,254 : 348,439.50 = 66,042 : x
  2. Step 2: Convert to fraction form
    232,254/348,439.50 = 66,042/x
  3. Step 3: Cross multiply
    232,254x = 348,439.50 × 66,042
  4. Step 4: Simplify right side
    232,254x = 23,011,641,459
  5. Step 5: Solve for x
    x = 23,011,641,459/232,254
  6. Step 6: Final answer
    x = 99,079.63

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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.