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Finding the Fourth Proportional to 208,573.16, 287,829.23 and 117,946.92

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Solution

The fourth proportional to 208,573.16, 287,829.23 and 117,946.92 is: 162,765.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,573.16 : 287,829.23 = 117,946.92 : x
  2. Step 2: Convert to fraction form
    208,573.16/287,829.23 = 117,946.92/x
  3. Step 3: Cross multiply
    208,573.16x = 287,829.23 × 117,946.92
  4. Step 4: Simplify right side
    208,573.16x = 33,948,570,574.74
  5. Step 5: Solve for x
    x = 33,948,570,574.74/208,573.16
  6. Step 6: Final answer
    x = 162,765.77

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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.