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Finding the Fourth Proportional to 206,724.10, 310,086.15 and 160,068.10

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Solution

The fourth proportional to 206,724.10, 310,086.15 and 160,068.10 is: 240,102.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,724.10 : 310,086.15 = 160,068.10 : x
  2. Step 2: Convert to fraction form
    206,724.10/310,086.15 = 160,068.10/x
  3. Step 3: Cross multiply
    206,724.10x = 310,086.15 × 160,068.10
  4. Step 4: Simplify right side
    206,724.10x = 49,634,900,866.82
  5. Step 5: Solve for x
    x = 49,634,900,866.82/206,724.10
  6. Step 6: Final answer
    x = 240,102.15

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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.