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Finding the Fourth Proportional to 102,463.56, 153,686.66 and 57,950.28

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Solution

The fourth proportional to 102,463.56, 153,686.66 and 57,950.28 is: 86,920.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,463.56 : 153,686.66 = 57,950.28 : x
  2. Step 2: Convert to fraction form
    102,463.56/153,686.66 = 57,950.28/x
  3. Step 3: Cross multiply
    102,463.56x = 153,686.66 × 57,950.28
  4. Step 4: Simplify right side
    102,463.56x = 8,906,184,979.26
  5. Step 5: Solve for x
    x = 8,906,184,979.26/102,463.56
  6. Step 6: Final answer
    x = 86,920.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.