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Finding the Fourth Proportional to 260,448, 359,464.31 and 153,018.00

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Solution

The fourth proportional to 260,448, 359,464.31 and 153,018.00 is: 211,191.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,448 : 359,464.31 = 153,018.00 : x
  2. Step 2: Convert to fraction form
    260,448/359,464.31 = 153,018.00/x
  3. Step 3: Cross multiply
    260,448x = 359,464.31 × 153,018.00
  4. Step 4: Simplify right side
    260,448x = 55,004,510,944.30
  5. Step 5: Solve for x
    x = 55,004,510,944.30/260,448
  6. Step 6: Final answer
    x = 211,191.91

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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.