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Finding the Fourth Proportional to 208,568.32, 310,169.25 and 201,925.31

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Solution

The fourth proportional to 208,568.32, 310,169.25 and 201,925.31 is: 300,290.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,568.32 : 310,169.25 = 201,925.31 : x
  2. Step 2: Convert to fraction form
    208,568.32/310,169.25 = 201,925.31/x
  3. Step 3: Cross multiply
    208,568.32x = 310,169.25 × 201,925.31
  4. Step 4: Simplify right side
    208,568.32x = 62,631,020,407.87
  5. Step 5: Solve for x
    x = 62,631,020,407.87/208,568.32
  6. Step 6: Final answer
    x = 300,290.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.