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Finding the Fourth Proportional to 225,086.84, 310,681.26 and 140,153.72

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Solution

The fourth proportional to 225,086.84, 310,681.26 and 140,153.72 is: 193,450.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,086.84 : 310,681.26 = 140,153.72 : x
  2. Step 2: Convert to fraction form
    225,086.84/310,681.26 = 140,153.72/x
  3. Step 3: Cross multiply
    225,086.84x = 310,681.26 × 140,153.72
  4. Step 4: Simplify right side
    225,086.84x = 43,543,134,323.29
  5. Step 5: Solve for x
    x = 43,543,134,323.29/225,086.84
  6. Step 6: Final answer
    x = 193,450.38

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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.