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Finding the Fourth Proportional to 111,412.89, 153,740.14 and 65,467.66

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Solution

The fourth proportional to 111,412.89, 153,740.14 and 65,467.66 is: 90,339.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,412.89 : 153,740.14 = 65,467.66 : x
  2. Step 2: Convert to fraction form
    111,412.89/153,740.14 = 65,467.66/x
  3. Step 3: Cross multiply
    111,412.89x = 153,740.14 × 65,467.66
  4. Step 4: Simplify right side
    111,412.89x = 10,065,007,213.87
  5. Step 5: Solve for x
    x = 10,065,007,213.87/111,412.89
  6. Step 6: Final answer
    x = 90,339.70

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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.