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Finding the Fourth Proportional to 193,291.16, 266,750.76 and 120,737

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Solution

The fourth proportional to 193,291.16, 266,750.76 and 120,737 is: 166,622.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,291.16 : 266,750.76 = 120,737 : x
  2. Step 2: Convert to fraction form
    193,291.16/266,750.76 = 120,737/x
  3. Step 3: Cross multiply
    193,291.16x = 266,750.76 × 120,737
  4. Step 4: Simplify right side
    193,291.16x = 32,206,686,510.12
  5. Step 5: Solve for x
    x = 32,206,686,510.12/193,291.16
  6. Step 6: Final answer
    x = 166,622.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.