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Finding the Fourth Proportional to 150,938.28, 208,294.86 and 83,870.28

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Solution

The fourth proportional to 150,938.28, 208,294.86 and 83,870.28 is: 115,741.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,938.28 : 208,294.86 = 83,870.28 : x
  2. Step 2: Convert to fraction form
    150,938.28/208,294.86 = 83,870.28/x
  3. Step 3: Cross multiply
    150,938.28x = 208,294.86 × 83,870.28
  4. Step 4: Simplify right side
    150,938.28x = 17,469,748,230.76
  5. Step 5: Solve for x
    x = 17,469,748,230.76/150,938.28
  6. Step 6: Final answer
    x = 115,741.01

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