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Finding the Fourth Proportional to 209,299.68, 288,345.42 and 145,526.76

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Solution

The fourth proportional to 209,299.68, 288,345.42 and 145,526.76 is: 200,487.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,299.68 : 288,345.42 = 145,526.76 : x
  2. Step 2: Convert to fraction form
    209,299.68/288,345.42 = 145,526.76/x
  3. Step 3: Cross multiply
    209,299.68x = 288,345.42 × 145,526.76
  4. Step 4: Simplify right side
    209,299.68x = 41,961,974,733.44
  5. Step 5: Solve for x
    x = 41,961,974,733.44/209,299.68
  6. Step 6: Final answer
    x = 200,487.52

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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.