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Finding the Fourth Proportional to 194,254.89, 291,407.85 and 67,897.32

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Solution

The fourth proportional to 194,254.89, 291,407.85 and 67,897.32 is: 101,854.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,254.89 : 291,407.85 = 67,897.32 : x
  2. Step 2: Convert to fraction form
    194,254.89/291,407.85 = 67,897.32/x
  3. Step 3: Cross multiply
    194,254.89x = 291,407.85 × 67,897.32
  4. Step 4: Simplify right side
    194,254.89x = 19,785,812,041.96
  5. Step 5: Solve for x
    x = 19,785,812,041.96/194,254.89
  6. Step 6: Final answer
    x = 101,854.90

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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.