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Finding the Fourth Proportional to 225,547.92, 311,255.28 and 130,054.32

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Solution

The fourth proportional to 225,547.92, 311,255.28 and 130,054.32 is: 179,474.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,547.92 : 311,255.28 = 130,054.32 : x
  2. Step 2: Convert to fraction form
    225,547.92/311,255.28 = 130,054.32/x
  3. Step 3: Cross multiply
    225,547.92x = 311,255.28 × 130,054.32
  4. Step 4: Simplify right side
    225,547.92x = 40,480,093,786.81
  5. Step 5: Solve for x
    x = 40,480,093,786.81/225,547.92
  6. Step 6: Final answer
    x = 179,474.47

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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.