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Finding the Fourth Proportional to 208,140.78, 287,167.22 and 127,484.22

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Solution

The fourth proportional to 208,140.78, 287,167.22 and 127,484.22 is: 175,887.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,140.78 : 287,167.22 = 127,484.22 : x
  2. Step 2: Convert to fraction form
    208,140.78/287,167.22 = 127,484.22/x
  3. Step 3: Cross multiply
    208,140.78x = 287,167.22 × 127,484.22
  4. Step 4: Simplify right side
    208,140.78x = 36,609,289,051.27
  5. Step 5: Solve for x
    x = 36,609,289,051.27/208,140.78
  6. Step 6: Final answer
    x = 175,887.15

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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.