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Finding the Fourth Proportional to 189,574.64, 284,159.88 and 142,682.48

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Solution

The fourth proportional to 189,574.64, 284,159.88 and 142,682.48 is: 213,871.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,574.64 : 284,159.88 = 142,682.48 : x
  2. Step 2: Convert to fraction form
    189,574.64/284,159.88 = 142,682.48/x
  3. Step 3: Cross multiply
    189,574.64x = 284,159.88 × 142,682.48
  4. Step 4: Simplify right side
    189,574.64x = 40,544,636,394.90
  5. Step 5: Solve for x
    x = 40,544,636,394.90/189,574.64
  6. Step 6: Final answer
    x = 213,871.63

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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.