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Finding the Fourth Proportional to 228,039, 314,782.60 and 204,124.32

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Solution

The fourth proportional to 228,039, 314,782.60 and 204,124.32 is: 281,771.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,039 : 314,782.60 = 204,124.32 : x
  2. Step 2: Convert to fraction form
    228,039/314,782.60 = 204,124.32/x
  3. Step 3: Cross multiply
    228,039x = 314,782.60 × 204,124.32
  4. Step 4: Simplify right side
    228,039x = 64,254,784,172.83
  5. Step 5: Solve for x
    x = 64,254,784,172.83/228,039
  6. Step 6: Final answer
    x = 281,771.03

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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.