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Finding the Fourth Proportional to 175,649.69, 242,401.27 and 106,715.69

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Solution

The fourth proportional to 175,649.69, 242,401.27 and 106,715.69 is: 147,270.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,649.69 : 242,401.27 = 106,715.69 : x
  2. Step 2: Convert to fraction form
    175,649.69/242,401.27 = 106,715.69/x
  3. Step 3: Cross multiply
    175,649.69x = 242,401.27 × 106,715.69
  4. Step 4: Simplify right side
    175,649.69x = 25,868,017,306.13
  5. Step 5: Solve for x
    x = 25,868,017,306.13/175,649.69
  6. Step 6: Final answer
    x = 147,270.50

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1.5x scale

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.