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Finding the Fourth Proportional to 78,537.20, 109,718.80 and 78,537.20

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Solution

The fourth proportional to 78,537.20, 109,718.80 and 78,537.20 is: 109,718.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,537.20 : 109,718.80 = 78,537.20 : x
  2. Step 2: Convert to fraction form
    78,537.20/109,718.80 = 78,537.20/x
  3. Step 3: Cross multiply
    78,537.20x = 109,718.80 × 78,537.20
  4. Step 4: Simplify right side
    78,537.20x = 8,617,007,339.36
  5. Step 5: Solve for x
    x = 8,617,007,339.36/78,537.20
  6. Step 6: Final answer
    x = 109,718.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.