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Finding the Fourth Proportional to 159,534.64, 239,293.32 and 48,718

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Solution

The fourth proportional to 159,534.64, 239,293.32 and 48,718 is: 73,074.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,534.64 : 239,293.32 = 48,718 : x
  2. Step 2: Convert to fraction form
    159,534.64/239,293.32 = 48,718/x
  3. Step 3: Cross multiply
    159,534.64x = 239,293.32 × 48,718
  4. Step 4: Simplify right side
    159,534.64x = 11,657,891,963.76
  5. Step 5: Solve for x
    x = 11,657,891,963.76/159,534.64
  6. Step 6: Final answer
    x = 73,074.36

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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.