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Finding the Fourth Proportional to 119,362.28, 164,719.84 and 65,648.12

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Solution

The fourth proportional to 119,362.28, 164,719.84 and 65,648.12 is: 90,594.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,362.28 : 164,719.84 = 65,648.12 : x
  2. Step 2: Convert to fraction form
    119,362.28/164,719.84 = 65,648.12/x
  3. Step 3: Cross multiply
    119,362.28x = 164,719.84 × 65,648.12
  4. Step 4: Simplify right side
    119,362.28x = 10,813,547,822.70
  5. Step 5: Solve for x
    x = 10,813,547,822.70/119,362.28
  6. Step 6: Final answer
    x = 90,594.35

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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.