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Finding the Fourth Proportional to 232,458.55, 348,523.80 and 106,159.30

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Solution

The fourth proportional to 232,458.55, 348,523.80 and 106,159.30 is: 159,164.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,458.55 : 348,523.80 = 106,159.30 : x
  2. Step 2: Convert to fraction form
    232,458.55/348,523.80 = 106,159.30/x
  3. Step 3: Cross multiply
    232,458.55x = 348,523.80 × 106,159.30
  4. Step 4: Simplify right side
    232,458.55x = 36,999,042,641.34
  5. Step 5: Solve for x
    x = 36,999,042,641.34/232,458.55
  6. Step 6: Final answer
    x = 159,164.04

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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.