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Finding the Fourth Proportional to 102,585.79, 141,568 and 57,263.38

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Solution

The fourth proportional to 102,585.79, 141,568 and 57,263.38 is: 79,023.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,585.79 : 141,568 = 57,263.38 : x
  2. Step 2: Convert to fraction form
    102,585.79/141,568 = 57,263.38/x
  3. Step 3: Cross multiply
    102,585.79x = 141,568 × 57,263.38
  4. Step 4: Simplify right side
    102,585.79x = 8,106,662,179.84
  5. Step 5: Solve for x
    x = 8,106,662,179.84/102,585.79
  6. Step 6: Final answer
    x = 79,023.25

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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.