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Finding the Fourth Proportional to 268,055.64, 369,946.31 and 153,344.86

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Solution

The fourth proportional to 268,055.64, 369,946.31 and 153,344.86 is: 211,632.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,055.64 : 369,946.31 = 153,344.86 : x
  2. Step 2: Convert to fraction form
    268,055.64/369,946.31 = 153,344.86/x
  3. Step 3: Cross multiply
    268,055.64x = 369,946.31 × 153,344.86
  4. Step 4: Simplify right side
    268,055.64x = 56,729,363,422.88
  5. Step 5: Solve for x
    x = 56,729,363,422.88/268,055.64
  6. Step 6: Final answer
    x = 211,632.79

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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.