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Finding the Fourth Proportional to 151,113.50, 208,544.93 and 87,471.80

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Solution

The fourth proportional to 151,113.50, 208,544.93 and 87,471.80 is: 120,715.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,113.50 : 208,544.93 = 87,471.80 : x
  2. Step 2: Convert to fraction form
    151,113.50/208,544.93 = 87,471.80/x
  3. Step 3: Cross multiply
    151,113.50x = 208,544.93 × 87,471.80
  4. Step 4: Simplify right side
    151,113.50x = 18,241,798,927.89
  5. Step 5: Solve for x
    x = 18,241,798,927.89/151,113.50
  6. Step 6: Final answer
    x = 120,715.88

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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.