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Finding the Fourth Proportional to 203,488.36, 280,490.38 and 160,397.98

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Solution

The fourth proportional to 203,488.36, 280,490.38 and 160,397.98 is: 221,094.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,488.36 : 280,490.38 = 160,397.98 : x
  2. Step 2: Convert to fraction form
    203,488.36/280,490.38 = 160,397.98/x
  3. Step 3: Cross multiply
    203,488.36x = 280,490.38 × 160,397.98
  4. Step 4: Simplify right side
    203,488.36x = 44,990,089,259.21
  5. Step 5: Solve for x
    x = 44,990,089,259.21/203,488.36
  6. Step 6: Final answer
    x = 221,094.17

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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.