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Finding the Fourth Proportional to 228,595.08, 342,915.24 and 78,815.70

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Solution

The fourth proportional to 228,595.08, 342,915.24 and 78,815.70 is: 118,231.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,595.08 : 342,915.24 = 78,815.70 : x
  2. Step 2: Convert to fraction form
    228,595.08/342,915.24 = 78,815.70/x
  3. Step 3: Cross multiply
    228,595.08x = 342,915.24 × 78,815.70
  4. Step 4: Simplify right side
    228,595.08x = 27,027,104,681.27
  5. Step 5: Solve for x
    x = 27,027,104,681.27/228,595.08
  6. Step 6: Final answer
    x = 118,231.35

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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.