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Finding the Fourth Proportional to 106,288.20, 144,670.05 and 106,288.20

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Solution

The fourth proportional to 106,288.20, 144,670.05 and 106,288.20 is: 144,670.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,288.20 : 144,670.05 = 106,288.20 : x
  2. Step 2: Convert to fraction form
    106,288.20/144,670.05 = 106,288.20/x
  3. Step 3: Cross multiply
    106,288.20x = 144,670.05 × 106,288.20
  4. Step 4: Simplify right side
    106,288.20x = 15,376,719,208.41
  5. Step 5: Solve for x
    x = 15,376,719,208.41/106,288.20
  6. Step 6: Final answer
    x = 144,670.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.