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Finding the Fourth Proportional to 225,750.94, 311,303.82 and 157,743.13

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Solution

The fourth proportional to 225,750.94, 311,303.82 and 157,743.13 is: 217,523.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,750.94 : 311,303.82 = 157,743.13 : x
  2. Step 2: Convert to fraction form
    225,750.94/311,303.82 = 157,743.13/x
  3. Step 3: Cross multiply
    225,750.94x = 311,303.82 × 157,743.13
  4. Step 4: Simplify right side
    225,750.94x = 49,106,038,947.76
  5. Step 5: Solve for x
    x = 49,106,038,947.76/225,750.94
  6. Step 6: Final answer
    x = 217,523.08

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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.