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Finding the Fourth Proportional to 119,646.32, 165,113.03 and 65,933.26

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Solution

The fourth proportional to 119,646.32, 165,113.03 and 65,933.26 is: 90,988.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,646.32 : 165,113.03 = 65,933.26 : x
  2. Step 2: Convert to fraction form
    119,646.32/165,113.03 = 65,933.26/x
  3. Step 3: Cross multiply
    119,646.32x = 165,113.03 × 65,933.26
  4. Step 4: Simplify right side
    119,646.32x = 10,886,439,407.97
  5. Step 5: Solve for x
    x = 10,886,439,407.97/119,646.32
  6. Step 6: Final answer
    x = 90,988.50

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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.