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Finding the Fourth Proportional to 216,460.93, 298,715.19 and 120,967.60

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Solution

The fourth proportional to 216,460.93, 298,715.19 and 120,967.60 is: 166,934.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,460.93 : 298,715.19 = 120,967.60 : x
  2. Step 2: Convert to fraction form
    216,460.93/298,715.19 = 120,967.60/x
  3. Step 3: Cross multiply
    216,460.93x = 298,715.19 × 120,967.60
  4. Step 4: Simplify right side
    216,460.93x = 36,134,859,617.84
  5. Step 5: Solve for x
    x = 36,134,859,617.84/216,460.93
  6. Step 6: Final answer
    x = 166,934.79

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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.