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Finding the Fourth Proportional to 116,096.68, 160,199.16 and 70,758.28

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Solution

The fourth proportional to 116,096.68, 160,199.16 and 70,758.28 is: 97,637.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,096.68 : 160,199.16 = 70,758.28 : x
  2. Step 2: Convert to fraction form
    116,096.68/160,199.16 = 70,758.28/x
  3. Step 3: Cross multiply
    116,096.68x = 160,199.16 × 70,758.28
  4. Step 4: Simplify right side
    116,096.68x = 11,335,417,019.04
  5. Step 5: Solve for x
    x = 11,335,417,019.04/116,096.68
  6. Step 6: Final answer
    x = 97,637.74

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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.