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Finding the Fourth Proportional to 147,876.84, 221,862.32 and 53,042.76

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Solution

The fourth proportional to 147,876.84, 221,862.32 and 53,042.76 is: 79,581.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,876.84 : 221,862.32 = 53,042.76 : x
  2. Step 2: Convert to fraction form
    147,876.84/221,862.32 = 53,042.76/x
  3. Step 3: Cross multiply
    147,876.84x = 221,862.32 × 53,042.76
  4. Step 4: Simplify right side
    147,876.84x = 11,768,189,792.80
  5. Step 5: Solve for x
    x = 11,768,189,792.80/147,876.84
  6. Step 6: Final answer
    x = 79,581.02

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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.