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Finding the Fourth Proportional to 302,089.92, 416,894.64 and 166,134.24

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Solution

The fourth proportional to 302,089.92, 416,894.64 and 166,134.24 is: 229,271.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,089.92 : 416,894.64 = 166,134.24 : x
  2. Step 2: Convert to fraction form
    302,089.92/416,894.64 = 166,134.24/x
  3. Step 3: Cross multiply
    302,089.92x = 416,894.64 × 166,134.24
  4. Step 4: Simplify right side
    302,089.92x = 69,260,474,176.47
  5. Step 5: Solve for x
    x = 69,260,474,176.47/302,089.92
  6. Step 6: Final answer
    x = 229,271.05

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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.