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Finding the Fourth Proportional to 150,298, 207,417.76 and 83,230

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Solution

The fourth proportional to 150,298, 207,417.76 and 83,230 is: 114,861.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,298 : 207,417.76 = 83,230 : x
  2. Step 2: Convert to fraction form
    150,298/207,417.76 = 83,230/x
  3. Step 3: Cross multiply
    150,298x = 207,417.76 × 83,230
  4. Step 4: Simplify right side
    150,298x = 17,263,380,164.80
  5. Step 5: Solve for x
    x = 17,263,380,164.80/150,298
  6. Step 6: Final answer
    x = 114,861.01

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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.