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Finding the Fourth Proportional to 119,229.84, 164,537.12 and 65,518.31

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Solution

The fourth proportional to 119,229.84, 164,537.12 and 65,518.31 is: 90,415.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,229.84 : 164,537.12 = 65,518.31 : x
  2. Step 2: Convert to fraction form
    119,229.84/164,537.12 = 65,518.31/x
  3. Step 3: Cross multiply
    119,229.84x = 164,537.12 × 65,518.31
  4. Step 4: Simplify right side
    119,229.84x = 10,780,194,609.81
  5. Step 5: Solve for x
    x = 10,780,194,609.81/119,229.84
  6. Step 6: Final answer
    x = 90,415.24

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1.5x scale

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.