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Finding the Fourth Proportional to 205,065.40, 307,598.10 and 149,296.90

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Solution

The fourth proportional to 205,065.40, 307,598.10 and 149,296.90 is: 223,945.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,065.40 : 307,598.10 = 149,296.90 : x
  2. Step 2: Convert to fraction form
    205,065.40/307,598.10 = 149,296.90/x
  3. Step 3: Cross multiply
    205,065.40x = 307,598.10 × 149,296.90
  4. Step 4: Simplify right side
    205,065.40x = 45,923,442,775.89
  5. Step 5: Solve for x
    x = 45,923,442,775.89/205,065.40
  6. Step 6: Final answer
    x = 223,945.35

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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.