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Finding the Fourth Proportional to 119,097.70, 164,355.10 and 65,386.17

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Solution

The fourth proportional to 119,097.70, 164,355.10 and 65,386.17 is: 90,233.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,097.70 : 164,355.10 = 65,386.17 : x
  2. Step 2: Convert to fraction form
    119,097.70/164,355.10 = 65,386.17/x
  3. Step 3: Cross multiply
    119,097.70x = 164,355.10 × 65,386.17
  4. Step 4: Simplify right side
    119,097.70x = 10,746,551,222.77
  5. Step 5: Solve for x
    x = 10,746,551,222.77/119,097.70
  6. Step 6: Final answer
    x = 90,233.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.