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Finding the Fourth Proportional to 116,097.91, 160,232.63 and 70,802.17

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Solution

The fourth proportional to 116,097.91, 160,232.63 and 70,802.17 is: 97,717.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,097.91 : 160,232.63 = 70,802.17 : x
  2. Step 2: Convert to fraction form
    116,097.91/160,232.63 = 70,802.17/x
  3. Step 3: Cross multiply
    116,097.91x = 160,232.63 × 70,802.17
  4. Step 4: Simplify right side
    116,097.91x = 11,344,817,331.22
  5. Step 5: Solve for x
    x = 11,344,817,331.22/116,097.91
  6. Step 6: Final answer
    x = 97,717.67

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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.