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Finding the Fourth Proportional to 206,873.10, 310,309.65 and 101,897.10

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Solution

The fourth proportional to 206,873.10, 310,309.65 and 101,897.10 is: 152,845.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,873.10 : 310,309.65 = 101,897.10 : x
  2. Step 2: Convert to fraction form
    206,873.10/310,309.65 = 101,897.10/x
  3. Step 3: Cross multiply
    206,873.10x = 310,309.65 × 101,897.10
  4. Step 4: Simplify right side
    206,873.10x = 31,619,653,437.02
  5. Step 5: Solve for x
    x = 31,619,653,437.02/206,873.10
  6. Step 6: Final answer
    x = 152,845.65

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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.