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Finding the Fourth Proportional to 138,031.30, 207,265.65 and 100,852.30

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Solution

The fourth proportional to 138,031.30, 207,265.65 and 100,852.30 is: 151,438.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,031.30 : 207,265.65 = 100,852.30 : x
  2. Step 2: Convert to fraction form
    138,031.30/207,265.65 = 100,852.30/x
  3. Step 3: Cross multiply
    138,031.30x = 207,265.65 × 100,852.30
  4. Step 4: Simplify right side
    138,031.30x = 20,903,217,513.50
  5. Step 5: Solve for x
    x = 20,903,217,513.50/138,031.30
  6. Step 6: Final answer
    x = 151,438.24

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1.5x scale

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.