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Finding the Fourth Proportional to 267,647.10, 401,200.65 and 99,059.10

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Solution

The fourth proportional to 267,647.10, 401,200.65 and 99,059.10 is: 148,488.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,647.10 : 401,200.65 = 99,059.10 : x
  2. Step 2: Convert to fraction form
    267,647.10/401,200.65 = 99,059.10/x
  3. Step 3: Cross multiply
    267,647.10x = 401,200.65 × 99,059.10
  4. Step 4: Simplify right side
    267,647.10x = 39,742,575,308.42
  5. Step 5: Solve for x
    x = 39,742,575,308.42/267,647.10
  6. Step 6: Final answer
    x = 148,488.72

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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.