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Finding the Fourth Proportional to 119,283.52, 164,611.28 and 65,572

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Solution

The fourth proportional to 119,283.52, 164,611.28 and 65,572 is: 90,489.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,283.52 : 164,611.28 = 65,572 : x
  2. Step 2: Convert to fraction form
    119,283.52/164,611.28 = 65,572/x
  3. Step 3: Cross multiply
    119,283.52x = 164,611.28 × 65,572
  4. Step 4: Simplify right side
    119,283.52x = 10,793,890,852.16
  5. Step 5: Solve for x
    x = 10,793,890,852.16/119,283.52
  6. Step 6: Final answer
    x = 90,489.37

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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.