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Finding the Fourth Proportional to 115,214.40, 158,993.28 and 64,908

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Solution

The fourth proportional to 115,214.40, 158,993.28 and 64,908 is: 89,571.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,214.40 : 158,993.28 = 64,908 : x
  2. Step 2: Convert to fraction form
    115,214.40/158,993.28 = 64,908/x
  3. Step 3: Cross multiply
    115,214.40x = 158,993.28 × 64,908
  4. Step 4: Simplify right side
    115,214.40x = 10,319,935,818.24
  5. Step 5: Solve for x
    x = 10,319,935,818.24/115,214.40
  6. Step 6: Final answer
    x = 89,571.58

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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.