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Finding the Fourth Proportional to 208,200.49, 287,316.34 and 112,707.16

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Solution

The fourth proportional to 208,200.49, 287,316.34 and 112,707.16 is: 155,535.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,200.49 : 287,316.34 = 112,707.16 : x
  2. Step 2: Convert to fraction form
    208,200.49/287,316.34 = 112,707.16/x
  3. Step 3: Cross multiply
    208,200.49x = 287,316.34 × 112,707.16
  4. Step 4: Simplify right side
    208,200.49x = 32,382,607,702.94
  5. Step 5: Solve for x
    x = 32,382,607,702.94/208,200.49
  6. Step 6: Final answer
    x = 155,535.70

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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.