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Finding the Fourth Proportional to 106,931.59, 147,602.48 and 61,627.66

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Solution

The fourth proportional to 106,931.59, 147,602.48 and 61,627.66 is: 85,067.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,931.59 : 147,602.48 = 61,627.66 : x
  2. Step 2: Convert to fraction form
    106,931.59/147,602.48 = 61,627.66/x
  3. Step 3: Cross multiply
    106,931.59x = 147,602.48 × 61,627.66
  4. Step 4: Simplify right side
    106,931.59x = 9,096,394,775.45
  5. Step 5: Solve for x
    x = 9,096,394,775.45/106,931.59
  6. Step 6: Final answer
    x = 85,067.42

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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.