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Finding the Fourth Proportional to 208,157.00, 287,263.61 and 127,568.94

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Solution

The fourth proportional to 208,157.00, 287,263.61 and 127,568.94 is: 176,049.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,157.00 : 287,263.61 = 127,568.94 : x
  2. Step 2: Convert to fraction form
    208,157.00/287,263.61 = 127,568.94/x
  3. Step 3: Cross multiply
    208,157.00x = 287,263.61 × 127,568.94
  4. Step 4: Simplify right side
    208,157.00x = 36,645,913,590.43
  5. Step 5: Solve for x
    x = 36,645,913,590.43/208,157.00
  6. Step 6: Final answer
    x = 176,049.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.