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Finding the Fourth Proportional to 162,764.93, 224,693.45 and 108,407.50

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Solution

The fourth proportional to 162,764.93, 224,693.45 and 108,407.50 is: 149,654.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,764.93 : 224,693.45 = 108,407.50 : x
  2. Step 2: Convert to fraction form
    162,764.93/224,693.45 = 108,407.50/x
  3. Step 3: Cross multiply
    162,764.93x = 224,693.45 × 108,407.50
  4. Step 4: Simplify right side
    162,764.93x = 24,358,455,180.88
  5. Step 5: Solve for x
    x = 24,358,455,180.88/162,764.93
  6. Step 6: Final answer
    x = 149,654.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.