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Finding the Fourth Proportional to 208,332.94, 287,505.36 and 117,692.74

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Solution

The fourth proportional to 208,332.94, 287,505.36 and 117,692.74 is: 162,419.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,332.94 : 287,505.36 = 117,692.74 : x
  2. Step 2: Convert to fraction form
    208,332.94/287,505.36 = 117,692.74/x
  3. Step 3: Cross multiply
    208,332.94x = 287,505.36 × 117,692.74
  4. Step 4: Simplify right side
    208,332.94x = 33,837,293,583.09
  5. Step 5: Solve for x
    x = 33,837,293,583.09/208,332.94
  6. Step 6: Final answer
    x = 162,419.32

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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.