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Finding the Fourth Proportional to 102,005.70, 153,008.55 and 100,256.10

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Solution

The fourth proportional to 102,005.70, 153,008.55 and 100,256.10 is: 150,384.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,005.70 : 153,008.55 = 100,256.10 : x
  2. Step 2: Convert to fraction form
    102,005.70/153,008.55 = 100,256.10/x
  3. Step 3: Cross multiply
    102,005.70x = 153,008.55 × 100,256.10
  4. Step 4: Simplify right side
    102,005.70x = 15,340,040,489.66
  5. Step 5: Solve for x
    x = 15,340,040,489.66/102,005.70
  6. Step 6: Final answer
    x = 150,384.15

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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.