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Finding the Fourth Proportional to 211,941.20, 318,430.20 and 159,453.20

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Solution

The fourth proportional to 211,941.20, 318,430.20 and 159,453.20 is: 239,569.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,941.20 : 318,430.20 = 159,453.20 : x
  2. Step 2: Convert to fraction form
    211,941.20/318,430.20 = 159,453.20/x
  3. Step 3: Cross multiply
    211,941.20x = 318,430.20 × 159,453.20
  4. Step 4: Simplify right side
    211,941.20x = 50,774,714,366.64
  5. Step 5: Solve for x
    x = 50,774,714,366.64/211,941.20
  6. Step 6: Final answer
    x = 239,569.82

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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.