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Finding the Fourth Proportional to 384,181.83, 576,148.14 and 127,946.16

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Solution

The fourth proportional to 384,181.83, 576,148.14 and 127,946.16 is: 191,877.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,181.83 : 576,148.14 = 127,946.16 : x
  2. Step 2: Convert to fraction form
    384,181.83/576,148.14 = 127,946.16/x
  3. Step 3: Cross multiply
    384,181.83x = 576,148.14 × 127,946.16
  4. Step 4: Simplify right side
    384,181.83x = 73,715,942,104.14
  5. Step 5: Solve for x
    x = 73,715,942,104.14/384,181.83
  6. Step 6: Final answer
    x = 191,877.74

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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.