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Finding the Fourth Proportional to 116,419.17, 160,657.02 and 65,440.56

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Solution

The fourth proportional to 116,419.17, 160,657.02 and 65,440.56 is: 90,307.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,419.17 : 160,657.02 = 65,440.56 : x
  2. Step 2: Convert to fraction form
    116,419.17/160,657.02 = 65,440.56/x
  3. Step 3: Cross multiply
    116,419.17x = 160,657.02 × 65,440.56
  4. Step 4: Simplify right side
    116,419.17x = 10,513,485,055.50
  5. Step 5: Solve for x
    x = 10,513,485,055.50/116,419.17
  6. Step 6: Final answer
    x = 90,307.16

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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.