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Finding the Fourth Proportional to 205,411.10, 308,116.65 and 94,819.10

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Solution

The fourth proportional to 205,411.10, 308,116.65 and 94,819.10 is: 142,228.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,411.10 : 308,116.65 = 94,819.10 : x
  2. Step 2: Convert to fraction form
    205,411.10/308,116.65 = 94,819.10/x
  3. Step 3: Cross multiply
    205,411.10x = 308,116.65 × 94,819.10
  4. Step 4: Simplify right side
    205,411.10x = 29,215,343,448.02
  5. Step 5: Solve for x
    x = 29,215,343,448.02/205,411.10
  6. Step 6: Final answer
    x = 142,228.65

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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.