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Finding the Fourth Proportional to 120,802.86, 166,713.46 and 67,088.10

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Solution

The fourth proportional to 120,802.86, 166,713.46 and 67,088.10 is: 92,584.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,802.86 : 166,713.46 = 67,088.10 : x
  2. Step 2: Convert to fraction form
    120,802.86/166,713.46 = 67,088.10/x
  3. Step 3: Cross multiply
    120,802.86x = 166,713.46 × 67,088.10
  4. Step 4: Simplify right side
    120,802.86x = 11,184,489,275.83
  5. Step 5: Solve for x
    x = 11,184,489,275.83/120,802.86
  6. Step 6: Final answer
    x = 92,584.64

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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.