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Finding the Fourth Proportional to 120,184.68, 165,842.16 and 66,461.16

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Solution

The fourth proportional to 120,184.68, 165,842.16 and 66,461.16 is: 91,709.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,184.68 : 165,842.16 = 66,461.16 : x
  2. Step 2: Convert to fraction form
    120,184.68/165,842.16 = 66,461.16/x
  3. Step 3: Cross multiply
    120,184.68x = 165,842.16 × 66,461.16
  4. Step 4: Simplify right side
    120,184.68x = 11,022,062,330.51
  5. Step 5: Solve for x
    x = 11,022,062,330.51/120,184.68
  6. Step 6: Final answer
    x = 91,709.38

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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.