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Finding the Fourth Proportional to 111,877.91, 167,595.40 and 97,853.77

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Solution

The fourth proportional to 111,877.91, 167,595.40 and 97,853.77 is: 146,586.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,877.91 : 167,595.40 = 97,853.77 : x
  2. Step 2: Convert to fraction form
    111,877.91/167,595.40 = 97,853.77/x
  3. Step 3: Cross multiply
    111,877.91x = 167,595.40 × 97,853.77
  4. Step 4: Simplify right side
    111,877.91x = 16,399,841,061.04
  5. Step 5: Solve for x
    x = 16,399,841,061.04/111,877.91
  6. Step 6: Final answer
    x = 146,586.95

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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.