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Finding the Fourth Proportional to 189,176.16, 283,764.24 and 64,518.24

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Solution

The fourth proportional to 189,176.16, 283,764.24 and 64,518.24 is: 96,777.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,176.16 : 283,764.24 = 64,518.24 : x
  2. Step 2: Convert to fraction form
    189,176.16/283,764.24 = 64,518.24/x
  3. Step 3: Cross multiply
    189,176.16x = 283,764.24 × 64,518.24
  4. Step 4: Simplify right side
    189,176.16x = 18,307,969,339.74
  5. Step 5: Solve for x
    x = 18,307,969,339.74/189,176.16
  6. Step 6: Final answer
    x = 96,777.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.