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Finding the Fourth Proportional to 106,756.86, 147,339.11 and 61,433.92

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Solution

The fourth proportional to 106,756.86, 147,339.11 and 61,433.92 is: 84,787.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,756.86 : 147,339.11 = 61,433.92 : x
  2. Step 2: Convert to fraction form
    106,756.86/147,339.11 = 61,433.92/x
  3. Step 3: Cross multiply
    106,756.86x = 147,339.11 × 61,433.92
  4. Step 4: Simplify right side
    106,756.86x = 9,051,619,096.61
  5. Step 5: Solve for x
    x = 9,051,619,096.61/106,756.86
  6. Step 6: Final answer
    x = 84,787.24

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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.