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Finding the Fourth Proportional to 228,608.32, 315,342 and 151,084.48

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Solution

The fourth proportional to 228,608.32, 315,342 and 151,084.48 is: 208,405.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,608.32 : 315,342 = 151,084.48 : x
  2. Step 2: Convert to fraction form
    228,608.32/315,342 = 151,084.48/x
  3. Step 3: Cross multiply
    228,608.32x = 315,342 × 151,084.48
  4. Step 4: Simplify right side
    228,608.32x = 47,643,282,092.16
  5. Step 5: Solve for x
    x = 47,643,282,092.16/228,608.32
  6. Step 6: Final answer
    x = 208,405.72

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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.