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Finding the Fourth Proportional to 225,754.16, 311,541.18 and 125,152.16

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Solution

The fourth proportional to 225,754.16, 311,541.18 and 125,152.16 is: 172,710.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,754.16 : 311,541.18 = 125,152.16 : x
  2. Step 2: Convert to fraction form
    225,754.16/311,541.18 = 125,152.16/x
  3. Step 3: Cross multiply
    225,754.16x = 311,541.18 × 125,152.16
  4. Step 4: Simplify right side
    225,754.16x = 38,990,051,605.95
  5. Step 5: Solve for x
    x = 38,990,051,605.95/225,754.16
  6. Step 6: Final answer
    x = 172,710.22

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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.