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Finding the Fourth Proportional to 106,926.50, 147,597.45 and 62,214.50

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Solution

The fourth proportional to 106,926.50, 147,597.45 and 62,214.50 is: 85,878.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,926.50 : 147,597.45 = 62,214.50 : x
  2. Step 2: Convert to fraction form
    106,926.50/147,597.45 = 62,214.50/x
  3. Step 3: Cross multiply
    106,926.50x = 147,597.45 × 62,214.50
  4. Step 4: Simplify right side
    106,926.50x = 9,182,701,553.03
  5. Step 5: Solve for x
    x = 9,182,701,553.03/106,926.50
  6. Step 6: Final answer
    x = 85,878.63

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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.