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Finding the Fourth Proportional to 162,552.30, 243,796.05 and 78,312.30

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Solution

The fourth proportional to 162,552.30, 243,796.05 and 78,312.30 is: 117,452.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,552.30 : 243,796.05 = 78,312.30 : x
  2. Step 2: Convert to fraction form
    162,552.30/243,796.05 = 78,312.30/x
  3. Step 3: Cross multiply
    162,552.30x = 243,796.05 × 78,312.30
  4. Step 4: Simplify right side
    162,552.30x = 19,092,229,406.42
  5. Step 5: Solve for x
    x = 19,092,229,406.42/162,552.30
  6. Step 6: Final answer
    x = 117,452.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.