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Finding the Fourth Proportional to 384,182.34, 576,148.88 and 127,946.66

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Solution

The fourth proportional to 384,182.34, 576,148.88 and 127,946.66 is: 191,878.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,182.34 : 576,148.88 = 127,946.66 : x
  2. Step 2: Convert to fraction form
    384,182.34/576,148.88 = 127,946.66/x
  3. Step 3: Cross multiply
    384,182.34x = 576,148.88 × 127,946.66
  4. Step 4: Simplify right side
    384,182.34x = 73,716,324,858.74
  5. Step 5: Solve for x
    x = 73,716,324,858.74/384,182.34
  6. Step 6: Final answer
    x = 191,878.48

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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.