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Finding the Fourth Proportional to 157,049.84, 235,601.04 and 123,314.50

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Solution

The fourth proportional to 157,049.84, 235,601.04 and 123,314.50 is: 184,992.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,049.84 : 235,601.04 = 123,314.50 : x
  2. Step 2: Convert to fraction form
    157,049.84/235,601.04 = 123,314.50/x
  3. Step 3: Cross multiply
    157,049.84x = 235,601.04 × 123,314.50
  4. Step 4: Simplify right side
    157,049.84x = 29,053,024,447.08
  5. Step 5: Solve for x
    x = 29,053,024,447.08/157,049.84
  6. Step 6: Final answer
    x = 184,992.38

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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.