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Finding the Fourth Proportional to 106,596.90, 147,098.43 and 61,242.75

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Solution

The fourth proportional to 106,596.90, 147,098.43 and 61,242.75 is: 84,511.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,596.90 : 147,098.43 = 61,242.75 : x
  2. Step 2: Convert to fraction form
    106,596.90/147,098.43 = 61,242.75/x
  3. Step 3: Cross multiply
    106,596.90x = 147,098.43 × 61,242.75
  4. Step 4: Simplify right side
    106,596.90x = 9,008,712,373.88
  5. Step 5: Solve for x
    x = 9,008,712,373.88/106,596.90
  6. Step 6: Final answer
    x = 84,511.95

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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.