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Finding the Fourth Proportional to 115,815.84, 159,820.08 and 64,827.36

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Solution

The fourth proportional to 115,815.84, 159,820.08 and 64,827.36 is: 89,458.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,815.84 : 159,820.08 = 64,827.36 : x
  2. Step 2: Convert to fraction form
    115,815.84/159,820.08 = 64,827.36/x
  3. Step 3: Cross multiply
    115,815.84x = 159,820.08 × 64,827.36
  4. Step 4: Simplify right side
    115,815.84x = 10,360,713,861.39
  5. Step 5: Solve for x
    x = 10,360,713,861.39/115,815.84
  6. Step 6: Final answer
    x = 89,458.52

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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.