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Finding the Fourth Proportional to 189,565.84, 284,253.42 and 63,161.32

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Solution

The fourth proportional to 189,565.84, 284,253.42 and 63,161.32 is: 94,710.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,565.84 : 284,253.42 = 63,161.32 : x
  2. Step 2: Convert to fraction form
    189,565.84/284,253.42 = 63,161.32/x
  3. Step 3: Cross multiply
    189,565.84x = 284,253.42 × 63,161.32
  4. Step 4: Simplify right side
    189,565.84x = 17,953,821,221.71
  5. Step 5: Solve for x
    x = 17,953,821,221.71/189,565.84
  6. Step 6: Final answer
    x = 94,710.21

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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.