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Finding the Fourth Proportional to 193,776.68, 288,969.22 and 192,005.12

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Solution

The fourth proportional to 193,776.68, 288,969.22 and 192,005.12 is: 286,327.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,776.68 : 288,969.22 = 192,005.12 : x
  2. Step 2: Convert to fraction form
    193,776.68/288,969.22 = 192,005.12/x
  3. Step 3: Cross multiply
    193,776.68x = 288,969.22 × 192,005.12
  4. Step 4: Simplify right side
    193,776.68x = 55,483,569,762.41
  5. Step 5: Solve for x
    x = 55,483,569,762.41/193,776.68
  6. Step 6: Final answer
    x = 286,327.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.