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Finding the Fourth Proportional to 208,001.90, 312,002.85 and 205,928.30

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Solution

The fourth proportional to 208,001.90, 312,002.85 and 205,928.30 is: 308,892.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,001.90 : 312,002.85 = 205,928.30 : x
  2. Step 2: Convert to fraction form
    208,001.90/312,002.85 = 205,928.30/x
  3. Step 3: Cross multiply
    208,001.90x = 312,002.85 × 205,928.30
  4. Step 4: Simplify right side
    208,001.90x = 64,250,216,495.66
  5. Step 5: Solve for x
    x = 64,250,216,495.66/208,001.90
  6. Step 6: Final answer
    x = 308,892.45

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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.