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Finding the Fourth Proportional to 106,989.98, 147,645.90 and 61,667.59

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Solution

The fourth proportional to 106,989.98, 147,645.90 and 61,667.59 is: 85,101.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,989.98 : 147,645.90 = 61,667.59 : x
  2. Step 2: Convert to fraction form
    106,989.98/147,645.90 = 61,667.59/x
  3. Step 3: Cross multiply
    106,989.98x = 147,645.90 × 61,667.59
  4. Step 4: Simplify right side
    106,989.98x = 9,104,966,826.38
  5. Step 5: Solve for x
    x = 9,104,966,826.38/106,989.98
  6. Step 6: Final answer
    x = 85,101.12

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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.