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Finding the Fourth Proportional to 151,568.50, 209,159.94 and 83,585.38

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Solution

The fourth proportional to 151,568.50, 209,159.94 and 83,585.38 is: 115,345.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,568.50 : 209,159.94 = 83,585.38 : x
  2. Step 2: Convert to fraction form
    151,568.50/209,159.94 = 83,585.38/x
  3. Step 3: Cross multiply
    151,568.50x = 209,159.94 × 83,585.38
  4. Step 4: Simplify right side
    151,568.50x = 17,482,713,065.68
  5. Step 5: Solve for x
    x = 17,482,713,065.68/151,568.50
  6. Step 6: Final answer
    x = 115,345.29

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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.