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Finding the Fourth Proportional to 211,873.64, 317,540.16 and 99,305.52

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Solution

The fourth proportional to 211,873.64, 317,540.16 and 99,305.52 is: 148,831.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,873.64 : 317,540.16 = 99,305.52 : x
  2. Step 2: Convert to fraction form
    211,873.64/317,540.16 = 99,305.52/x
  3. Step 3: Cross multiply
    211,873.64x = 317,540.16 × 99,305.52
  4. Step 4: Simplify right side
    211,873.64x = 31,533,490,709.68
  5. Step 5: Solve for x
    x = 31,533,490,709.68/211,873.64
  6. Step 6: Final answer
    x = 148,831.59

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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.