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Finding the Fourth Proportional to 114,147.05, 157,509.12 and 65,764.80

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Solution

The fourth proportional to 114,147.05, 157,509.12 and 65,764.80 is: 90,747.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,147.05 : 157,509.12 = 65,764.80 : x
  2. Step 2: Convert to fraction form
    114,147.05/157,509.12 = 65,764.80/x
  3. Step 3: Cross multiply
    114,147.05x = 157,509.12 × 65,764.80
  4. Step 4: Simplify right side
    114,147.05x = 10,358,555,774.98
  5. Step 5: Solve for x
    x = 10,358,555,774.98/114,147.05
  6. Step 6: Final answer
    x = 90,747.47

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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.