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Finding the Fourth Proportional to 202,929.40, 280,050.84 and 112,283.92

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Solution

The fourth proportional to 202,929.40, 280,050.84 and 112,283.92 is: 154,956.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,929.40 : 280,050.84 = 112,283.92 : x
  2. Step 2: Convert to fraction form
    202,929.40/280,050.84 = 112,283.92/x
  3. Step 3: Cross multiply
    202,929.40x = 280,050.84 × 112,283.92
  4. Step 4: Simplify right side
    202,929.40x = 31,445,206,114.49
  5. Step 5: Solve for x
    x = 31,445,206,114.49/202,929.40
  6. Step 6: Final answer
    x = 154,956.38

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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.