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Finding the Fourth Proportional to 228,497.52, 342,352.62 and 177,914.64

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Solution

The fourth proportional to 228,497.52, 342,352.62 and 177,914.64 is: 266,565.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,497.52 : 342,352.62 = 177,914.64 : x
  2. Step 2: Convert to fraction form
    228,497.52/342,352.62 = 177,914.64/x
  3. Step 3: Cross multiply
    228,497.52x = 342,352.62 × 177,914.64
  4. Step 4: Simplify right side
    228,497.52x = 60,909,543,140.36
  5. Step 5: Solve for x
    x = 60,909,543,140.36/228,497.52
  6. Step 6: Final answer
    x = 266,565.45

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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.