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Finding the Fourth Proportional to 190,549, 285,835.47 and 64,178.92

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Solution

The fourth proportional to 190,549, 285,835.47 and 64,178.92 is: 96,272.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,549 : 285,835.47 = 64,178.92 : x
  2. Step 2: Convert to fraction form
    190,549/285,835.47 = 64,178.92/x
  3. Step 3: Cross multiply
    190,549x = 285,835.47 × 64,178.92
  4. Step 4: Simplify right side
    190,549x = 18,344,611,762.29
  5. Step 5: Solve for x
    x = 18,344,611,762.29/190,549
  6. Step 6: Final answer
    x = 96,272.41

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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.