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Finding the Fourth Proportional to 101,461.10, 152,227.65 and 101,461.10

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Solution

The fourth proportional to 101,461.10, 152,227.65 and 101,461.10 is: 152,227.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,461.10 : 152,227.65 = 101,461.10 : x
  2. Step 2: Convert to fraction form
    101,461.10/152,227.65 = 101,461.10/x
  3. Step 3: Cross multiply
    101,461.10x = 152,227.65 × 101,461.10
  4. Step 4: Simplify right side
    101,461.10x = 15,445,184,819.42
  5. Step 5: Solve for x
    x = 15,445,184,819.42/101,461.10
  6. Step 6: Final answer
    x = 152,227.65

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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.