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Finding the Fourth Proportional to 225,465.19, 310,992.28 and 144,994.52

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Solution

The fourth proportional to 225,465.19, 310,992.28 and 144,994.52 is: 199,996.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,465.19 : 310,992.28 = 144,994.52 : x
  2. Step 2: Convert to fraction form
    225,465.19/310,992.28 = 144,994.52/x
  3. Step 3: Cross multiply
    225,465.19x = 310,992.28 × 144,994.52
  4. Step 4: Simplify right side
    225,465.19x = 45,092,176,777.30
  5. Step 5: Solve for x
    x = 45,092,176,777.30/225,465.19
  6. Step 6: Final answer
    x = 199,996.18

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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.