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Finding the Fourth Proportional to 106,249, 146,623.62 and 59,145

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Solution

The fourth proportional to 106,249, 146,623.62 and 59,145 is: 81,620.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,249 : 146,623.62 = 59,145 : x
  2. Step 2: Convert to fraction form
    106,249/146,623.62 = 59,145/x
  3. Step 3: Cross multiply
    106,249x = 146,623.62 × 59,145
  4. Step 4: Simplify right side
    106,249x = 8,672,054,004.90
  5. Step 5: Solve for x
    x = 8,672,054,004.90/106,249
  6. Step 6: Final answer
    x = 81,620.10

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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.