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Finding the Fourth Proportional to 119,295.52, 164,627.76 and 65,584

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Solution

The fourth proportional to 119,295.52, 164,627.76 and 65,584 is: 90,505.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,295.52 : 164,627.76 = 65,584 : x
  2. Step 2: Convert to fraction form
    119,295.52/164,627.76 = 65,584/x
  3. Step 3: Cross multiply
    119,295.52x = 164,627.76 × 65,584
  4. Step 4: Simplify right side
    119,295.52x = 10,796,947,011.84
  5. Step 5: Solve for x
    x = 10,796,947,011.84/119,295.52
  6. Step 6: Final answer
    x = 90,505.89

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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.