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Finding the Fourth Proportional to 225,713.02, 311,269.08 and 135,054.58

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Solution

The fourth proportional to 225,713.02, 311,269.08 and 135,054.58 is: 186,246.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,713.02 : 311,269.08 = 135,054.58 : x
  2. Step 2: Convert to fraction form
    225,713.02/311,269.08 = 135,054.58/x
  3. Step 3: Cross multiply
    225,713.02x = 311,269.08 × 135,054.58
  4. Step 4: Simplify right side
    225,713.02x = 42,038,314,866.39
  5. Step 5: Solve for x
    x = 42,038,314,866.39/225,713.02
  6. Step 6: Final answer
    x = 186,246.74

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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.