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Finding the Fourth Proportional to 147,866.28, 221,775.66 and 41,253

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Solution

The fourth proportional to 147,866.28, 221,775.66 and 41,253 is: 61,872.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,866.28 : 221,775.66 = 41,253 : x
  2. Step 2: Convert to fraction form
    147,866.28/221,775.66 = 41,253/x
  3. Step 3: Cross multiply
    147,866.28x = 221,775.66 × 41,253
  4. Step 4: Simplify right side
    147,866.28x = 9,148,911,301.98
  5. Step 5: Solve for x
    x = 9,148,911,301.98/147,866.28
  6. Step 6: Final answer
    x = 61,872.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.