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Finding the Fourth Proportional to 106,926, 147,596.76 and 62,214

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Solution

The fourth proportional to 106,926, 147,596.76 and 62,214 is: 85,877.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,926 : 147,596.76 = 62,214 : x
  2. Step 2: Convert to fraction form
    106,926/147,596.76 = 62,214/x
  3. Step 3: Cross multiply
    106,926x = 147,596.76 × 62,214
  4. Step 4: Simplify right side
    106,926x = 9,182,584,826.64
  5. Step 5: Solve for x
    x = 9,182,584,826.64/106,926
  6. Step 6: Final answer
    x = 85,877.94

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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.