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Finding the Fourth Proportional to 119,299.64, 164,623.71 and 70,233.47

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Solution

The fourth proportional to 119,299.64, 164,623.71 and 70,233.47 is: 96,916.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,299.64 : 164,623.71 = 70,233.47 : x
  2. Step 2: Convert to fraction form
    119,299.64/164,623.71 = 70,233.47/x
  3. Step 3: Cross multiply
    119,299.64x = 164,623.71 × 70,233.47
  4. Step 4: Simplify right side
    119,299.64x = 11,562,093,574.46
  5. Step 5: Solve for x
    x = 11,562,093,574.46/119,299.64
  6. Step 6: Final answer
    x = 96,916.42

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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.