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Finding the Fourth Proportional to 119,285.52, 164,614.04 and 65,574

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Solution

The fourth proportional to 119,285.52, 164,614.04 and 65,574 is: 90,492.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,285.52 : 164,614.04 = 65,574 : x
  2. Step 2: Convert to fraction form
    119,285.52/164,614.04 = 65,574/x
  3. Step 3: Cross multiply
    119,285.52x = 164,614.04 × 65,574
  4. Step 4: Simplify right side
    119,285.52x = 10,794,401,058.96
  5. Step 5: Solve for x
    x = 10,794,401,058.96/119,285.52
  6. Step 6: Final answer
    x = 90,492.13

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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.