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Finding the Fourth Proportional to 208,592.07, 287,863.13 and 117,946.06

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Solution

The fourth proportional to 208,592.07, 287,863.13 and 117,946.06 is: 162,769.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,592.07 : 287,863.13 = 117,946.06 : x
  2. Step 2: Convert to fraction form
    208,592.07/287,863.13 = 117,946.06/x
  3. Step 3: Cross multiply
    208,592.07x = 287,863.13 × 117,946.06
  4. Step 4: Simplify right side
    208,592.07x = 33,952,322,002.77
  5. Step 5: Solve for x
    x = 33,952,322,002.77/208,592.07
  6. Step 6: Final answer
    x = 162,769.00

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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.