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Finding the Fourth Proportional to 194,745.10, 292,117.65 and 89,769.10

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Solution

The fourth proportional to 194,745.10, 292,117.65 and 89,769.10 is: 134,653.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,745.10 : 292,117.65 = 89,769.10 : x
  2. Step 2: Convert to fraction form
    194,745.10/292,117.65 = 89,769.10/x
  3. Step 3: Cross multiply
    194,745.10x = 292,117.65 × 89,769.10
  4. Step 4: Simplify right side
    194,745.10x = 26,223,138,534.62
  5. Step 5: Solve for x
    x = 26,223,138,534.62/194,745.10
  6. Step 6: Final answer
    x = 134,653.65

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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.