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Finding the Fourth Proportional to 190,533, 285,811.47 and 64,162.92

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Solution

The fourth proportional to 190,533, 285,811.47 and 64,162.92 is: 96,248.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,533 : 285,811.47 = 64,162.92 : x
  2. Step 2: Convert to fraction form
    190,533/285,811.47 = 64,162.92/x
  3. Step 3: Cross multiply
    190,533x = 285,811.47 × 64,162.92
  4. Step 4: Simplify right side
    190,533x = 18,338,498,484.69
  5. Step 5: Solve for x
    x = 18,338,498,484.69/190,533
  6. Step 6: Final answer
    x = 96,248.41

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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.