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Finding the Fourth Proportional to 202,962.30, 280,088.52 and 112,324.52

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Solution

The fourth proportional to 202,962.30, 280,088.52 and 112,324.52 is: 155,008.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,962.30 : 280,088.52 = 112,324.52 : x
  2. Step 2: Convert to fraction form
    202,962.30/280,088.52 = 112,324.52/x
  3. Step 3: Cross multiply
    202,962.30x = 280,088.52 × 112,324.52
  4. Step 4: Simplify right side
    202,962.30x = 31,460,806,744.85
  5. Step 5: Solve for x
    x = 31,460,806,744.85/202,962.30
  6. Step 6: Final answer
    x = 155,008.13

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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.