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Finding the Fourth Proportional to 150,459, 207,633.42 and 83,391

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Solution

The fourth proportional to 150,459, 207,633.42 and 83,391 is: 115,079.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,459 : 207,633.42 = 83,391 : x
  2. Step 2: Convert to fraction form
    150,459/207,633.42 = 83,391/x
  3. Step 3: Cross multiply
    150,459x = 207,633.42 × 83,391
  4. Step 4: Simplify right side
    150,459x = 17,314,758,527.22
  5. Step 5: Solve for x
    x = 17,314,758,527.22/150,459
  6. Step 6: Final answer
    x = 115,079.58

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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.