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Finding the Fourth Proportional to 154,562.34, 213,298.74 and 86,578.78

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Solution

The fourth proportional to 154,562.34, 213,298.74 and 86,578.78 is: 119,480.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,562.34 : 213,298.74 = 86,578.78 : x
  2. Step 2: Convert to fraction form
    154,562.34/213,298.74 = 86,578.78/x
  3. Step 3: Cross multiply
    154,562.34x = 213,298.74 × 86,578.78
  4. Step 4: Simplify right side
    154,562.34x = 18,467,144,684.74
  5. Step 5: Solve for x
    x = 18,467,144,684.74/154,562.34
  6. Step 6: Final answer
    x = 119,480.23

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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.