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Finding the Fourth Proportional to 120,102.94, 165,742.10 and 66,387.94

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Solution

The fourth proportional to 120,102.94, 165,742.10 and 66,387.94 is: 91,615.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,102.94 : 165,742.10 = 66,387.94 : x
  2. Step 2: Convert to fraction form
    120,102.94/165,742.10 = 66,387.94/x
  3. Step 3: Cross multiply
    120,102.94x = 165,742.10 × 66,387.94
  4. Step 4: Simplify right side
    120,102.94x = 11,003,276,792.16
  5. Step 5: Solve for x
    x = 11,003,276,792.16/120,102.94
  6. Step 6: Final answer
    x = 91,615.38

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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.