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Finding the Fourth Proportional to 119,356, 164,711.46 and 69,058.24

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Solution

The fourth proportional to 119,356, 164,711.46 and 69,058.24 is: 95,300.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,356 : 164,711.46 = 69,058.24 : x
  2. Step 2: Convert to fraction form
    119,356/164,711.46 = 69,058.24/x
  3. Step 3: Cross multiply
    119,356x = 164,711.46 × 69,058.24
  4. Step 4: Simplify right side
    119,356x = 11,374,683,535.43
  5. Step 5: Solve for x
    x = 11,374,683,535.43/119,356
  6. Step 6: Final answer
    x = 95,300.48

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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.