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Finding the Fourth Proportional to 160,637.78, 221,685.86 and 96,963.14

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Solution

The fourth proportional to 160,637.78, 221,685.86 and 96,963.14 is: 133,812.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,637.78 : 221,685.86 = 96,963.14 : x
  2. Step 2: Convert to fraction form
    160,637.78/221,685.86 = 96,963.14/x
  3. Step 3: Cross multiply
    160,637.78x = 221,685.86 × 96,963.14
  4. Step 4: Simplify right side
    160,637.78x = 21,495,357,079.20
  5. Step 5: Solve for x
    x = 21,495,357,079.20/160,637.78
  6. Step 6: Final answer
    x = 133,812.59

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1.5x scale

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.