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Finding the Fourth Proportional to 202,912, 280,019.52 and 113,488

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Solution

The fourth proportional to 202,912, 280,019.52 and 113,488 is: 156,613.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,912 : 280,019.52 = 113,488 : x
  2. Step 2: Convert to fraction form
    202,912/280,019.52 = 113,488/x
  3. Step 3: Cross multiply
    202,912x = 280,019.52 × 113,488
  4. Step 4: Simplify right side
    202,912x = 31,778,855,285.76
  5. Step 5: Solve for x
    x = 31,778,855,285.76/202,912
  6. Step 6: Final answer
    x = 156,613.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.