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Finding the Fourth Proportional to 119,207.79, 164,509.65 and 65,496.29

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Solution

The fourth proportional to 119,207.79, 164,509.65 and 65,496.29 is: 90,386.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,207.79 : 164,509.65 = 65,496.29 : x
  2. Step 2: Convert to fraction form
    119,207.79/164,509.65 = 65,496.29/x
  3. Step 3: Cross multiply
    119,207.79x = 164,509.65 × 65,496.29
  4. Step 4: Simplify right side
    119,207.79x = 10,774,770,921.65
  5. Step 5: Solve for x
    x = 10,774,770,921.65/119,207.79
  6. Step 6: Final answer
    x = 90,386.47

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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.