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Finding the Fourth Proportional to 169,102.52, 233,393.10 and 120,835.16

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Solution

The fourth proportional to 169,102.52, 233,393.10 and 120,835.16 is: 166,775.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,102.52 : 233,393.10 = 120,835.16 : x
  2. Step 2: Convert to fraction form
    169,102.52/233,393.10 = 120,835.16/x
  3. Step 3: Cross multiply
    169,102.52x = 233,393.10 × 120,835.16
  4. Step 4: Simplify right side
    169,102.52x = 28,202,092,581.40
  5. Step 5: Solve for x
    x = 28,202,092,581.40/169,102.52
  6. Step 6: Final answer
    x = 166,775.12

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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.