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Finding the Fourth Proportional to 207,862.60, 311,885.70 and 101,187.40

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Solution

The fourth proportional to 207,862.60, 311,885.70 and 101,187.40 is: 151,825.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,862.60 : 311,885.70 = 101,187.40 : x
  2. Step 2: Convert to fraction form
    207,862.60/311,885.70 = 101,187.40/x
  3. Step 3: Cross multiply
    207,862.60x = 311,885.70 × 101,187.40
  4. Step 4: Simplify right side
    207,862.60x = 31,558,903,080.18
  5. Step 5: Solve for x
    x = 31,558,903,080.18/207,862.60
  6. Step 6: Final answer
    x = 151,825.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.