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Finding the Fourth Proportional to 224,028.40, 335,904.63 and 110,031.16

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Solution

The fourth proportional to 224,028.40, 335,904.63 and 110,031.16 is: 164,978.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,028.40 : 335,904.63 = 110,031.16 : x
  2. Step 2: Convert to fraction form
    224,028.40/335,904.63 = 110,031.16/x
  3. Step 3: Cross multiply
    224,028.40x = 335,904.63 × 110,031.16
  4. Step 4: Simplify right side
    224,028.40x = 36,959,976,088.27
  5. Step 5: Solve for x
    x = 36,959,976,088.27/224,028.40
  6. Step 6: Final answer
    x = 164,978.98

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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.