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Finding the Fourth Proportional to 208,072.20, 311,330.70 and 138,088.20

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Solution

The fourth proportional to 208,072.20, 311,330.70 and 138,088.20 is: 206,616.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,072.20 : 311,330.70 = 138,088.20 : x
  2. Step 2: Convert to fraction form
    208,072.20/311,330.70 = 138,088.20/x
  3. Step 3: Cross multiply
    208,072.20x = 311,330.70 × 138,088.20
  4. Step 4: Simplify right side
    208,072.20x = 42,991,095,967.74
  5. Step 5: Solve for x
    x = 42,991,095,967.74/208,072.20
  6. Step 6: Final answer
    x = 206,616.24

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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.