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Finding the Fourth Proportional to 384,182.83, 576,149.64 and 127,947.16

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Solution

The fourth proportional to 384,182.83, 576,149.64 and 127,947.16 is: 191,879.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,182.83 : 576,149.64 = 127,947.16 : x
  2. Step 2: Convert to fraction form
    384,182.83/576,149.64 = 127,947.16/x
  3. Step 3: Cross multiply
    384,182.83x = 576,149.64 × 127,947.16
  4. Step 4: Simplify right side
    384,182.83x = 73,716,710,173.02
  5. Step 5: Solve for x
    x = 73,716,710,173.02/384,182.83
  6. Step 6: Final answer
    x = 191,879.24

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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.