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Finding the Fourth Proportional to 121,223.97, 167,208.98 and 75,823.16

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Solution

The fourth proportional to 121,223.97, 167,208.98 and 75,823.16 is: 104,585.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,223.97 : 167,208.98 = 75,823.16 : x
  2. Step 2: Convert to fraction form
    121,223.97/167,208.98 = 75,823.16/x
  3. Step 3: Cross multiply
    121,223.97x = 167,208.98 × 75,823.16
  4. Step 4: Simplify right side
    121,223.97x = 12,678,312,028.82
  5. Step 5: Solve for x
    x = 12,678,312,028.82/121,223.97
  6. Step 6: Final answer
    x = 104,585.85

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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.