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Finding the Fourth Proportional to 187,419.42, 280,932.30 and 116,341.92

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Solution

The fourth proportional to 187,419.42, 280,932.30 and 116,341.92 is: 174,390.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,419.42 : 280,932.30 = 116,341.92 : x
  2. Step 2: Convert to fraction form
    187,419.42/280,932.30 = 116,341.92/x
  3. Step 3: Cross multiply
    187,419.42x = 280,932.30 × 116,341.92
  4. Step 4: Simplify right side
    187,419.42x = 32,684,203,172.02
  5. Step 5: Solve for x
    x = 32,684,203,172.02/187,419.42
  6. Step 6: Final answer
    x = 174,390.70

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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.