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Finding the Fourth Proportional to 228,915.60, 343,081.80 and 166,513.20

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Solution

The fourth proportional to 228,915.60, 343,081.80 and 166,513.20 is: 249,557.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,915.60 : 343,081.80 = 166,513.20 : x
  2. Step 2: Convert to fraction form
    228,915.60/343,081.80 = 166,513.20/x
  3. Step 3: Cross multiply
    228,915.60x = 343,081.80 × 166,513.20
  4. Step 4: Simplify right side
    228,915.60x = 57,127,648,379.76
  5. Step 5: Solve for x
    x = 57,127,648,379.76/228,915.60
  6. Step 6: Final answer
    x = 249,557.69

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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.