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Finding the Fourth Proportional to 543,088.32, 814,738.32 and 164,039.52

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Solution

The fourth proportional to 543,088.32, 814,738.32 and 164,039.52 is: 246,091.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,088.32 : 814,738.32 = 164,039.52 : x
  2. Step 2: Convert to fraction form
    543,088.32/814,738.32 = 164,039.52/x
  3. Step 3: Cross multiply
    543,088.32x = 814,738.32 × 164,039.52
  4. Step 4: Simplify right side
    543,088.32x = 133,649,282,938.41
  5. Step 5: Solve for x
    x = 133,649,282,938.41/543,088.32
  6. Step 6: Final answer
    x = 246,091.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.