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Finding the Fourth Proportional to 78,220.54, 107,916.06 and 51,377.60

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Solution

The fourth proportional to 78,220.54, 107,916.06 and 51,377.60 is: 70,882.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,220.54 : 107,916.06 = 51,377.60 : x
  2. Step 2: Convert to fraction form
    78,220.54/107,916.06 = 51,377.60/x
  3. Step 3: Cross multiply
    78,220.54x = 107,916.06 × 51,377.60
  4. Step 4: Simplify right side
    78,220.54x = 5,544,468,164.26
  5. Step 5: Solve for x
    x = 5,544,468,164.26/78,220.54
  6. Step 6: Final answer
    x = 70,882.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.