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Finding the Fourth Proportional to 114,472.32, 171,774 and 89,442.24

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Solution

The fourth proportional to 114,472.32, 171,774 and 89,442.24 is: 134,214.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,472.32 : 171,774 = 89,442.24 : x
  2. Step 2: Convert to fraction form
    114,472.32/171,774 = 89,442.24/x
  3. Step 3: Cross multiply
    114,472.32x = 171,774 × 89,442.24
  4. Step 4: Simplify right side
    114,472.32x = 15,363,851,333.76
  5. Step 5: Solve for x
    x = 15,363,851,333.76/114,472.32
  6. Step 6: Final answer
    x = 134,214.55

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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.