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Finding the Fourth Proportional to 106,953.50, 147,634.71 and 62,241.50

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Solution

The fourth proportional to 106,953.50, 147,634.71 and 62,241.50 is: 85,915.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,953.50 : 147,634.71 = 62,241.50 : x
  2. Step 2: Convert to fraction form
    106,953.50/147,634.71 = 62,241.50/x
  3. Step 3: Cross multiply
    106,953.50x = 147,634.71 × 62,241.50
  4. Step 4: Simplify right side
    106,953.50x = 9,189,005,802.47
  5. Step 5: Solve for x
    x = 9,189,005,802.47/106,953.50
  6. Step 6: Final answer
    x = 85,915.90

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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.