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Finding the Fourth Proportional to 150,288.64, 207,398.32 and 83,220.64

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Solution

The fourth proportional to 150,288.64, 207,398.32 and 83,220.64 is: 114,844.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,288.64 : 207,398.32 = 83,220.64 : x
  2. Step 2: Convert to fraction form
    150,288.64/207,398.32 = 83,220.64/x
  3. Step 3: Cross multiply
    150,288.64x = 207,398.32 × 83,220.64
  4. Step 4: Simplify right side
    150,288.64x = 17,259,820,925.32
  5. Step 5: Solve for x
    x = 17,259,820,925.32/150,288.64
  6. Step 6: Final answer
    x = 114,844.48

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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.