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Finding the Fourth Proportional to 208,262.95, 287,402.38 and 117,614.50

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Solution

The fourth proportional to 208,262.95, 287,402.38 and 117,614.50 is: 162,307.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,262.95 : 287,402.38 = 117,614.50 : x
  2. Step 2: Convert to fraction form
    208,262.95/287,402.38 = 117,614.50/x
  3. Step 3: Cross multiply
    208,262.95x = 287,402.38 × 117,614.50
  4. Step 4: Simplify right side
    208,262.95x = 33,802,686,209.97
  5. Step 5: Solve for x
    x = 33,802,686,209.97/208,262.95
  6. Step 6: Final answer
    x = 162,307.73

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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.