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Finding the Fourth Proportional to 202,962.52, 280,081.38 and 112,322.30

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Solution

The fourth proportional to 202,962.52, 280,081.38 and 112,322.30 is: 155,000.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,962.52 : 280,081.38 = 112,322.30 : x
  2. Step 2: Convert to fraction form
    202,962.52/280,081.38 = 112,322.30/x
  3. Step 3: Cross multiply
    202,962.52x = 280,081.38 × 112,322.30
  4. Step 4: Simplify right side
    202,962.52x = 31,459,384,788.77
  5. Step 5: Solve for x
    x = 31,459,384,788.77/202,962.52
  6. Step 6: Final answer
    x = 155,000.96

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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.