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Finding the Fourth Proportional to 201,458.74, 278,007.24 and 110,814.70

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Solution

The fourth proportional to 201,458.74, 278,007.24 and 110,814.70 is: 152,921.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,458.74 : 278,007.24 = 110,814.70 : x
  2. Step 2: Convert to fraction form
    201,458.74/278,007.24 = 110,814.70/x
  3. Step 3: Cross multiply
    201,458.74x = 278,007.24 × 110,814.70
  4. Step 4: Simplify right side
    201,458.74x = 30,807,288,898.43
  5. Step 5: Solve for x
    x = 30,807,288,898.43/201,458.74
  6. Step 6: Final answer
    x = 152,921.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.