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Finding the Fourth Proportional to 208,178.12, 287,291.04 and 127,650

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Solution

The fourth proportional to 208,178.12, 287,291.04 and 127,650 is: 176,160.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,178.12 : 287,291.04 = 127,650 : x
  2. Step 2: Convert to fraction form
    208,178.12/287,291.04 = 127,650/x
  3. Step 3: Cross multiply
    208,178.12x = 287,291.04 × 127,650
  4. Step 4: Simplify right side
    208,178.12x = 36,672,701,256
  5. Step 5: Solve for x
    x = 36,672,701,256/208,178.12
  6. Step 6: Final answer
    x = 176,160.21

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