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Finding the Fourth Proportional to 189,825.80, 284,349.90 and 96,384.20

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Solution

The fourth proportional to 189,825.80, 284,349.90 and 96,384.20 is: 144,378.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,825.80 : 284,349.90 = 96,384.20 : x
  2. Step 2: Convert to fraction form
    189,825.80/284,349.90 = 96,384.20/x
  3. Step 3: Cross multiply
    189,825.80x = 284,349.90 × 96,384.20
  4. Step 4: Simplify right side
    189,825.80x = 27,406,837,631.58
  5. Step 5: Solve for x
    x = 27,406,837,631.58/189,825.80
  6. Step 6: Final answer
    x = 144,378.89

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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.