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Finding the Fourth Proportional to 169,496.94, 233,913.12 and 101,524.98

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Solution

The fourth proportional to 169,496.94, 233,913.12 and 101,524.98 is: 140,108.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,496.94 : 233,913.12 = 101,524.98 : x
  2. Step 2: Convert to fraction form
    169,496.94/233,913.12 = 101,524.98/x
  3. Step 3: Cross multiply
    169,496.94x = 233,913.12 × 101,524.98
  4. Step 4: Simplify right side
    169,496.94x = 23,748,024,829.74
  5. Step 5: Solve for x
    x = 23,748,024,829.74/169,496.94
  6. Step 6: Final answer
    x = 140,108.87

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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.