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Finding the Fourth Proportional to 207,852.92, 286,835.20 and 112,358.76

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Solution

The fourth proportional to 207,852.92, 286,835.20 and 112,358.76 is: 155,054.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,852.92 : 286,835.20 = 112,358.76 : x
  2. Step 2: Convert to fraction form
    207,852.92/286,835.20 = 112,358.76/x
  3. Step 3: Cross multiply
    207,852.92x = 286,835.20 × 112,358.76
  4. Step 4: Simplify right side
    207,852.92x = 32,228,447,396.35
  5. Step 5: Solve for x
    x = 32,228,447,396.35/207,852.92
  6. Step 6: Final answer
    x = 155,054.10

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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.