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Finding the Fourth Proportional to 192,783.74, 289,189.12 and 59,646.46

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Solution

The fourth proportional to 192,783.74, 289,189.12 and 59,646.46 is: 89,473.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,783.74 : 289,189.12 = 59,646.46 : x
  2. Step 2: Convert to fraction form
    192,783.74/289,189.12 = 59,646.46/x
  3. Step 3: Cross multiply
    192,783.74x = 289,189.12 × 59,646.46
  4. Step 4: Simplify right side
    192,783.74x = 17,249,107,278.52
  5. Step 5: Solve for x
    x = 17,249,107,278.52/192,783.74
  6. Step 6: Final answer
    x = 89,473.87

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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.