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Finding the Fourth Proportional to 267,312.42, 401,005.49 and 89,833.19

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Solution

The fourth proportional to 267,312.42, 401,005.49 and 89,833.19 is: 134,762.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,312.42 : 401,005.49 = 89,833.19 : x
  2. Step 2: Convert to fraction form
    267,312.42/401,005.49 = 89,833.19/x
  3. Step 3: Cross multiply
    267,312.42x = 401,005.49 × 89,833.19
  4. Step 4: Simplify right side
    267,312.42x = 36,023,599,920.02
  5. Step 5: Solve for x
    x = 36,023,599,920.02/267,312.42
  6. Step 6: Final answer
    x = 134,762.16

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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.