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Finding the Fourth Proportional to 288,981.42, 433,287.50 and 138,923.12

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Solution

The fourth proportional to 288,981.42, 433,287.50 and 138,923.12 is: 208,295.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,981.42 : 433,287.50 = 138,923.12 : x
  2. Step 2: Convert to fraction form
    288,981.42/433,287.50 = 138,923.12/x
  3. Step 3: Cross multiply
    288,981.42x = 433,287.50 × 138,923.12
  4. Step 4: Simplify right side
    288,981.42x = 60,193,648,495.95
  5. Step 5: Solve for x
    x = 60,193,648,495.95/288,981.42
  6. Step 6: Final answer
    x = 208,295.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.