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Finding the Fourth Proportional to 227,823.20, 341,702.40 and 78,070.40

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Solution

The fourth proportional to 227,823.20, 341,702.40 and 78,070.40 is: 117,094.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,823.20 : 341,702.40 = 78,070.40 : x
  2. Step 2: Convert to fraction form
    227,823.20/341,702.40 = 78,070.40/x
  3. Step 3: Cross multiply
    227,823.20x = 341,702.40 × 78,070.40
  4. Step 4: Simplify right side
    227,823.20x = 26,676,843,048.96
  5. Step 5: Solve for x
    x = 26,676,843,048.96/227,823.20
  6. Step 6: Final answer
    x = 117,094.50

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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.