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Finding the Fourth Proportional to 105,169.40, 157,754.10 and 96,567.80

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Solution

The fourth proportional to 105,169.40, 157,754.10 and 96,567.80 is: 144,851.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,169.40 : 157,754.10 = 96,567.80 : x
  2. Step 2: Convert to fraction form
    105,169.40/157,754.10 = 96,567.80/x
  3. Step 3: Cross multiply
    105,169.40x = 157,754.10 × 96,567.80
  4. Step 4: Simplify right side
    105,169.40x = 15,233,966,377.98
  5. Step 5: Solve for x
    x = 15,233,966,377.98/105,169.40
  6. Step 6: Final answer
    x = 144,851.70

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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.