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Finding the Fourth Proportional to 232,461.55, 348,528.30 and 106,162.30

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Solution

The fourth proportional to 232,461.55, 348,528.30 and 106,162.30 is: 159,168.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,461.55 : 348,528.30 = 106,162.30 : x
  2. Step 2: Convert to fraction form
    232,461.55/348,528.30 = 106,162.30/x
  3. Step 3: Cross multiply
    232,461.55x = 348,528.30 × 106,162.30
  4. Step 4: Simplify right side
    232,461.55x = 37,000,565,943.09
  5. Step 5: Solve for x
    x = 37,000,565,943.09/232,461.55
  6. Step 6: Final answer
    x = 159,168.54

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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.