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Finding the Fourth Proportional to 150,271.14, 207,380.64 and 83,203.14

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Solution

The fourth proportional to 150,271.14, 207,380.64 and 83,203.14 is: 114,823.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,271.14 : 207,380.64 = 83,203.14 : x
  2. Step 2: Convert to fraction form
    150,271.14/207,380.64 = 83,203.14/x
  3. Step 3: Cross multiply
    150,271.14x = 207,380.64 × 83,203.14
  4. Step 4: Simplify right side
    150,271.14x = 17,254,720,423.21
  5. Step 5: Solve for x
    x = 17,254,720,423.21/150,271.14
  6. Step 6: Final answer
    x = 114,823.91

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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.