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Finding the Fourth Proportional to 208,426.56, 287,634 and 127,898.58

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Solution

The fourth proportional to 208,426.56, 287,634 and 127,898.58 is: 176,503.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,426.56 : 287,634 = 127,898.58 : x
  2. Step 2: Convert to fraction form
    208,426.56/287,634 = 127,898.58/x
  3. Step 3: Cross multiply
    208,426.56x = 287,634 × 127,898.58
  4. Step 4: Simplify right side
    208,426.56x = 36,787,980,159.72
  5. Step 5: Solve for x
    x = 36,787,980,159.72/208,426.56
  6. Step 6: Final answer
    x = 176,503.32

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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.