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Finding the Fourth Proportional to 292,989.32, 439,527.84 and 106,044.56

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Solution

The fourth proportional to 292,989.32, 439,527.84 and 106,044.56 is: 159,082.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,989.32 : 439,527.84 = 106,044.56 : x
  2. Step 2: Convert to fraction form
    292,989.32/439,527.84 = 106,044.56/x
  3. Step 3: Cross multiply
    292,989.32x = 439,527.84 × 106,044.56
  4. Step 4: Simplify right side
    292,989.32x = 46,609,535,453.47
  5. Step 5: Solve for x
    x = 46,609,535,453.47/292,989.32
  6. Step 6: Final answer
    x = 159,082.71

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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.