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Finding the Fourth Proportional to 202,983.65, 280,110.51 and 112,343.45

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Solution

The fourth proportional to 202,983.65, 280,110.51 and 112,343.45 is: 155,030.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,983.65 : 280,110.51 = 112,343.45 : x
  2. Step 2: Convert to fraction form
    202,983.65/280,110.51 = 112,343.45/x
  3. Step 3: Cross multiply
    202,983.65x = 280,110.51 × 112,343.45
  4. Step 4: Simplify right side
    202,983.65x = 31,468,581,074.66
  5. Step 5: Solve for x
    x = 31,468,581,074.66/202,983.65
  6. Step 6: Final answer
    x = 155,030.13

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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.