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Finding the Fourth Proportional to 225,985.95, 311,859.74 and 124,013.12

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Solution

The fourth proportional to 225,985.95, 311,859.74 and 124,013.12 is: 171,137.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,985.95 : 311,859.74 = 124,013.12 : x
  2. Step 2: Convert to fraction form
    225,985.95/311,859.74 = 124,013.12/x
  3. Step 3: Cross multiply
    225,985.95x = 311,859.74 × 124,013.12
  4. Step 4: Simplify right side
    225,985.95x = 38,674,698,110.52
  5. Step 5: Solve for x
    x = 38,674,698,110.52/225,985.95
  6. Step 6: Final answer
    x = 171,137.62

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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.