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Finding the Fourth Proportional to 147,201.10, 220,801.65 and 136,266.10

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Solution

The fourth proportional to 147,201.10, 220,801.65 and 136,266.10 is: 204,399.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,201.10 : 220,801.65 = 136,266.10 : x
  2. Step 2: Convert to fraction form
    147,201.10/220,801.65 = 136,266.10/x
  3. Step 3: Cross multiply
    147,201.10x = 220,801.65 × 136,266.10
  4. Step 4: Simplify right side
    147,201.10x = 30,087,779,719.07
  5. Step 5: Solve for x
    x = 30,087,779,719.07/147,201.10
  6. Step 6: Final answer
    x = 204,399.15

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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.