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Finding the Fourth Proportional to 202,984.16, 280,112.40 and 112,343.88

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Solution

The fourth proportional to 202,984.16, 280,112.40 and 112,343.88 is: 155,031.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,984.16 : 280,112.40 = 112,343.88 : x
  2. Step 2: Convert to fraction form
    202,984.16/280,112.40 = 112,343.88/x
  3. Step 3: Cross multiply
    202,984.16x = 280,112.40 × 112,343.88
  4. Step 4: Simplify right side
    202,984.16x = 31,468,913,852.11
  5. Step 5: Solve for x
    x = 31,468,913,852.11/202,984.16
  6. Step 6: Final answer
    x = 155,031.38

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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.