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Finding the Fourth Proportional to 192,378.82, 288,582.72 and 57,432.22

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Solution

The fourth proportional to 192,378.82, 288,582.72 and 57,432.22 is: 86,152.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,378.82 : 288,582.72 = 57,432.22 : x
  2. Step 2: Convert to fraction form
    192,378.82/288,582.72 = 57,432.22/x
  3. Step 3: Cross multiply
    192,378.82x = 288,582.72 × 57,432.22
  4. Step 4: Simplify right side
    192,378.82x = 16,573,946,263.24
  5. Step 5: Solve for x
    x = 16,573,946,263.24/192,378.82
  6. Step 6: Final answer
    x = 86,152.66

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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.