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Finding the Fourth Proportional to 174,656.34, 261,978.96 and 48,304.20

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Solution

The fourth proportional to 174,656.34, 261,978.96 and 48,304.20 is: 72,454.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,656.34 : 261,978.96 = 48,304.20 : x
  2. Step 2: Convert to fraction form
    174,656.34/261,978.96 = 48,304.20/x
  3. Step 3: Cross multiply
    174,656.34x = 261,978.96 × 48,304.20
  4. Step 4: Simplify right side
    174,656.34x = 12,654,684,079.63
  5. Step 5: Solve for x
    x = 12,654,684,079.63/174,656.34
  6. Step 6: Final answer
    x = 72,454.77

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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.