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Finding the Fourth Proportional to 225,854.36, 311,705.06 and 135,210.27

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Solution

The fourth proportional to 225,854.36, 311,705.06 and 135,210.27 is: 186,605.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,854.36 : 311,705.06 = 135,210.27 : x
  2. Step 2: Convert to fraction form
    225,854.36/311,705.06 = 135,210.27/x
  3. Step 3: Cross multiply
    225,854.36x = 311,705.06 × 135,210.27
  4. Step 4: Simplify right side
    225,854.36x = 42,145,724,646.91
  5. Step 5: Solve for x
    x = 42,145,724,646.91/225,854.36
  6. Step 6: Final answer
    x = 186,605.76

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1.5x scale

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.