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Finding the Fourth Proportional to 78,015, 116,593.08 and 56,998.80

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Solution

The fourth proportional to 78,015, 116,593.08 and 56,998.80 is: 85,184.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,015 : 116,593.08 = 56,998.80 : x
  2. Step 2: Convert to fraction form
    78,015/116,593.08 = 56,998.80/x
  3. Step 3: Cross multiply
    78,015x = 116,593.08 × 56,998.80
  4. Step 4: Simplify right side
    78,015x = 6,645,665,648.30
  5. Step 5: Solve for x
    x = 6,645,665,648.30/78,015
  6. Step 6: Final answer
    x = 85,184.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.