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Finding the Fourth Proportional to 111,555.72, 154,084.14 and 83,387.16

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Solution

The fourth proportional to 111,555.72, 154,084.14 and 83,387.16 is: 115,176.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,555.72 : 154,084.14 = 83,387.16 : x
  2. Step 2: Convert to fraction form
    111,555.72/154,084.14 = 83,387.16/x
  3. Step 3: Cross multiply
    111,555.72x = 154,084.14 × 83,387.16
  4. Step 4: Simplify right side
    111,555.72x = 12,848,638,835.64
  5. Step 5: Solve for x
    x = 12,848,638,835.64/111,555.72
  6. Step 6: Final answer
    x = 115,176.87

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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.