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Finding the Fourth Proportional to 115,776.64, 159,631.68 and 97,840

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Solution

The fourth proportional to 115,776.64, 159,631.68 and 97,840 is: 134,900.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,776.64 : 159,631.68 = 97,840 : x
  2. Step 2: Convert to fraction form
    115,776.64/159,631.68 = 97,840/x
  3. Step 3: Cross multiply
    115,776.64x = 159,631.68 × 97,840
  4. Step 4: Simplify right side
    115,776.64x = 15,618,363,571.20
  5. Step 5: Solve for x
    x = 15,618,363,571.20/115,776.64
  6. Step 6: Final answer
    x = 134,900.82

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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.