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Finding the Fourth Proportional to 102,097.20, 153,145.80 and 73,884.90

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Solution

The fourth proportional to 102,097.20, 153,145.80 and 73,884.90 is: 110,827.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,097.20 : 153,145.80 = 73,884.90 : x
  2. Step 2: Convert to fraction form
    102,097.20/153,145.80 = 73,884.90/x
  3. Step 3: Cross multiply
    102,097.20x = 153,145.80 × 73,884.90
  4. Step 4: Simplify right side
    102,097.20x = 11,315,162,118.42
  5. Step 5: Solve for x
    x = 11,315,162,118.42/102,097.20
  6. Step 6: Final answer
    x = 110,827.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.