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Finding the Fourth Proportional to 185,188.75, 277,799.51 and 52,070.15

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Solution

The fourth proportional to 185,188.75, 277,799.51 and 52,070.15 is: 78,109.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,188.75 : 277,799.51 = 52,070.15 : x
  2. Step 2: Convert to fraction form
    185,188.75/277,799.51 = 52,070.15/x
  3. Step 3: Cross multiply
    185,188.75x = 277,799.51 × 52,070.15
  4. Step 4: Simplify right side
    185,188.75x = 14,465,062,980.30
  5. Step 5: Solve for x
    x = 14,465,062,980.30/185,188.75
  6. Step 6: Final answer
    x = 78,109.84

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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.