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Finding the Fourth Proportional to 265,741.62, 398,544.51 and 78,709.38

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Solution

The fourth proportional to 265,741.62, 398,544.51 and 78,709.38 is: 118,043.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,741.62 : 398,544.51 = 78,709.38 : x
  2. Step 2: Convert to fraction form
    265,741.62/398,544.51 = 78,709.38/x
  3. Step 3: Cross multiply
    265,741.62x = 398,544.51 × 78,709.38
  4. Step 4: Simplify right side
    265,741.62x = 31,369,191,284.50
  5. Step 5: Solve for x
    x = 31,369,191,284.50/265,741.62
  6. Step 6: Final answer
    x = 118,043.95

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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.