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Finding the Fourth Proportional to 150,116, 207,160.08 and 83,052.32

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Solution

The fourth proportional to 150,116, 207,160.08 and 83,052.32 is: 114,612.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,116 : 207,160.08 = 83,052.32 : x
  2. Step 2: Convert to fraction form
    150,116/207,160.08 = 83,052.32/x
  3. Step 3: Cross multiply
    150,116x = 207,160.08 × 83,052.32
  4. Step 4: Simplify right side
    150,116x = 17,205,125,255.39
  5. Step 5: Solve for x
    x = 17,205,125,255.39/150,116
  6. Step 6: Final answer
    x = 114,612.20

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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.