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Finding the Fourth Proportional to 207,851.92, 286,835.86 and 112,358.64

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Solution

The fourth proportional to 207,851.92, 286,835.86 and 112,358.64 is: 155,055.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,851.92 : 286,835.86 = 112,358.64 : x
  2. Step 2: Convert to fraction form
    207,851.92/286,835.86 = 112,358.64/x
  3. Step 3: Cross multiply
    207,851.92x = 286,835.86 × 112,358.64
  4. Step 4: Simplify right side
    207,851.92x = 32,228,487,132.83
  5. Step 5: Solve for x
    x = 32,228,487,132.83/207,851.92
  6. Step 6: Final answer
    x = 155,055.04

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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.