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Finding the Fourth Proportional to 119,543.07, 164,970.50 and 65,828.29

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Solution

The fourth proportional to 119,543.07, 164,970.50 and 65,828.29 is: 90,843.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,543.07 : 164,970.50 = 65,828.29 : x
  2. Step 2: Convert to fraction form
    119,543.07/164,970.50 = 65,828.29/x
  3. Step 3: Cross multiply
    119,543.07x = 164,970.50 × 65,828.29
  4. Step 4: Simplify right side
    119,543.07x = 10,859,725,915.45
  5. Step 5: Solve for x
    x = 10,859,725,915.45/119,543.07
  6. Step 6: Final answer
    x = 90,843.63

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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.