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Finding the Fourth Proportional to 189,643.84, 284,507.32 and 71,315.14

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Solution

The fourth proportional to 189,643.84, 284,507.32 and 71,315.14 is: 106,988.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,643.84 : 284,507.32 = 71,315.14 : x
  2. Step 2: Convert to fraction form
    189,643.84/284,507.32 = 71,315.14/x
  3. Step 3: Cross multiply
    189,643.84x = 284,507.32 × 71,315.14
  4. Step 4: Simplify right side
    189,643.84x = 20,289,679,356.82
  5. Step 5: Solve for x
    x = 20,289,679,356.82/189,643.84
  6. Step 6: Final answer
    x = 106,988.34

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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.