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Finding the Fourth Proportional to 189,593.93, 284,048.24 and 118,482.43

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Solution

The fourth proportional to 189,593.93, 284,048.24 and 118,482.43 is: 177,509.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,593.93 : 284,048.24 = 118,482.43 : x
  2. Step 2: Convert to fraction form
    189,593.93/284,048.24 = 118,482.43/x
  3. Step 3: Cross multiply
    189,593.93x = 284,048.24 × 118,482.43
  4. Step 4: Simplify right side
    189,593.93x = 33,654,727,140.50
  5. Step 5: Solve for x
    x = 33,654,727,140.50/189,593.93
  6. Step 6: Final answer
    x = 177,509.51

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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.