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Finding the Fourth Proportional to 106,988.98, 147,644.52 and 61,666.59

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Solution

The fourth proportional to 106,988.98, 147,644.52 and 61,666.59 is: 85,099.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,988.98 : 147,644.52 = 61,666.59 : x
  2. Step 2: Convert to fraction form
    106,988.98/147,644.52 = 61,666.59/x
  3. Step 3: Cross multiply
    106,988.98x = 147,644.52 × 61,666.59
  4. Step 4: Simplify right side
    106,988.98x = 9,104,734,334.63
  5. Step 5: Solve for x
    x = 9,104,734,334.63/106,988.98
  6. Step 6: Final answer
    x = 85,099.74

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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.