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Finding the Fourth Proportional to 267,559.70, 401,056.74 and 98,971.76

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Solution

The fourth proportional to 267,559.70, 401,056.74 and 98,971.76 is: 148,353.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,559.70 : 401,056.74 = 98,971.76 : x
  2. Step 2: Convert to fraction form
    267,559.70/401,056.74 = 98,971.76/x
  3. Step 3: Cross multiply
    267,559.70x = 401,056.74 × 98,971.76
  4. Step 4: Simplify right side
    267,559.70x = 39,693,289,412.38
  5. Step 5: Solve for x
    x = 39,693,289,412.38/267,559.70
  6. Step 6: Final answer
    x = 148,353.02

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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.