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Finding the Fourth Proportional to 265,788.72, 398,657.16 and 99,589.68

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Solution

The fourth proportional to 265,788.72, 398,657.16 and 99,589.68 is: 149,374.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,788.72 : 398,657.16 = 99,589.68 : x
  2. Step 2: Convert to fraction form
    265,788.72/398,657.16 = 99,589.68/x
  3. Step 3: Cross multiply
    265,788.72x = 398,657.16 × 99,589.68
  4. Step 4: Simplify right side
    265,788.72x = 39,702,138,994.11
  5. Step 5: Solve for x
    x = 39,702,138,994.11/265,788.72
  6. Step 6: Final answer
    x = 149,374.81

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Why These Related Problems?

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