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Finding the Fourth Proportional to 150,505.64, 207,707.12 and 83,437.64

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Solution

The fourth proportional to 150,505.64, 207,707.12 and 83,437.64 is: 115,149.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,505.64 : 207,707.12 = 83,437.64 : x
  2. Step 2: Convert to fraction form
    150,505.64/207,707.12 = 83,437.64/x
  3. Step 3: Cross multiply
    150,505.64x = 207,707.12 × 83,437.64
  4. Step 4: Simplify right side
    150,505.64x = 17,330,590,448.27
  5. Step 5: Solve for x
    x = 17,330,590,448.27/150,505.64
  6. Step 6: Final answer
    x = 115,149.11

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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.