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Finding the Fourth Proportional to 116,097.68, 160,200.54 and 70,759.28

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Solution

The fourth proportional to 116,097.68, 160,200.54 and 70,759.28 is: 97,639.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,097.68 : 160,200.54 = 70,759.28 : x
  2. Step 2: Convert to fraction form
    116,097.68/160,200.54 = 70,759.28/x
  3. Step 3: Cross multiply
    116,097.68x = 160,200.54 × 70,759.28
  4. Step 4: Simplify right side
    116,097.68x = 11,335,674,866.01
  5. Step 5: Solve for x
    x = 11,335,674,866.01/116,097.68
  6. Step 6: Final answer
    x = 97,639.12

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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.