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Finding the Fourth Proportional to 208,323.16, 287,485.05 and 116,442.32

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Solution

The fourth proportional to 208,323.16, 287,485.05 and 116,442.32 is: 160,689.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,323.16 : 287,485.05 = 116,442.32 : x
  2. Step 2: Convert to fraction form
    208,323.16/287,485.05 = 116,442.32/x
  3. Step 3: Cross multiply
    208,323.16x = 287,485.05 × 116,442.32
  4. Step 4: Simplify right side
    208,323.16x = 33,475,426,187.32
  5. Step 5: Solve for x
    x = 33,475,426,187.32/208,323.16
  6. Step 6: Final answer
    x = 160,689.90

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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.