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Finding the Fourth Proportional to 109,783.15, 151,500.78 and 59,482.15

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Solution

The fourth proportional to 109,783.15, 151,500.78 and 59,482.15 is: 82,085.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,783.15 : 151,500.78 = 59,482.15 : x
  2. Step 2: Convert to fraction form
    109,783.15/151,500.78 = 59,482.15/x
  3. Step 3: Cross multiply
    109,783.15x = 151,500.78 × 59,482.15
  4. Step 4: Simplify right side
    109,783.15x = 9,011,591,742.33
  5. Step 5: Solve for x
    x = 9,011,591,742.33/109,783.15
  6. Step 6: Final answer
    x = 82,085.38

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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.