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Finding the Fourth Proportional to 114,301.16, 157,722.12 and 65,902.55

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Solution

The fourth proportional to 114,301.16, 157,722.12 and 65,902.55 is: 90,937.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,301.16 : 157,722.12 = 65,902.55 : x
  2. Step 2: Convert to fraction form
    114,301.16/157,722.12 = 65,902.55/x
  3. Step 3: Cross multiply
    114,301.16x = 157,722.12 × 65,902.55
  4. Step 4: Simplify right side
    114,301.16x = 10,394,289,899.41
  5. Step 5: Solve for x
    x = 10,394,289,899.41/114,301.16
  6. Step 6: Final answer
    x = 90,937.75

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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.