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Finding the Fourth Proportional to 111,157.66, 153,419.16 and 84,253.24

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Solution

The fourth proportional to 111,157.66, 153,419.16 and 84,253.24 is: 116,285.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,157.66 : 153,419.16 = 84,253.24 : x
  2. Step 2: Convert to fraction form
    111,157.66/153,419.16 = 84,253.24/x
  3. Step 3: Cross multiply
    111,157.66x = 153,419.16 × 84,253.24
  4. Step 4: Simplify right side
    111,157.66x = 12,926,061,308.08
  5. Step 5: Solve for x
    x = 12,926,061,308.08/111,157.66
  6. Step 6: Final answer
    x = 116,285.83

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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.