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Finding the Fourth Proportional to 175,649.55, 242,401.10 and 106,715.55

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Solution

The fourth proportional to 175,649.55, 242,401.10 and 106,715.55 is: 147,270.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,649.55 : 242,401.10 = 106,715.55 : x
  2. Step 2: Convert to fraction form
    175,649.55/242,401.10 = 106,715.55/x
  3. Step 3: Cross multiply
    175,649.55x = 242,401.10 × 106,715.55
  4. Step 4: Simplify right side
    175,649.55x = 25,867,966,707.11
  5. Step 5: Solve for x
    x = 25,867,966,707.11/175,649.55
  6. Step 6: Final answer
    x = 147,270.33

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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.