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Finding the Fourth Proportional to 203,024, 280,166.10 and 112,383.92

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Solution

The fourth proportional to 203,024, 280,166.10 and 112,383.92 is: 155,085.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,024 : 280,166.10 = 112,383.92 : x
  2. Step 2: Convert to fraction form
    203,024/280,166.10 = 112,383.92/x
  3. Step 3: Cross multiply
    203,024x = 280,166.10 × 112,383.92
  4. Step 4: Simplify right side
    203,024x = 31,486,164,569.11
  5. Step 5: Solve for x
    x = 31,486,164,569.11/203,024
  6. Step 6: Final answer
    x = 155,085.92

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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.