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Finding the Fourth Proportional to 189,681.87, 284,277.51 and 141,922.24

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Solution

The fourth proportional to 189,681.87, 284,277.51 and 141,922.24 is: 212,699.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,681.87 : 284,277.51 = 141,922.24 : x
  2. Step 2: Convert to fraction form
    189,681.87/284,277.51 = 141,922.24/x
  3. Step 3: Cross multiply
    189,681.87x = 284,277.51 × 141,922.24
  4. Step 4: Simplify right side
    189,681.87x = 40,345,301,000.82
  5. Step 5: Solve for x
    x = 40,345,301,000.82/189,681.87
  6. Step 6: Final answer
    x = 212,699.83

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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.