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Finding the Fourth Proportional to 137,225.70, 205,838.55 and 78,176.70

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Solution

The fourth proportional to 137,225.70, 205,838.55 and 78,176.70 is: 117,265.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,225.70 : 205,838.55 = 78,176.70 : x
  2. Step 2: Convert to fraction form
    137,225.70/205,838.55 = 78,176.70/x
  3. Step 3: Cross multiply
    137,225.70x = 205,838.55 × 78,176.70
  4. Step 4: Simplify right side
    137,225.70x = 16,091,778,571.79
  5. Step 5: Solve for x
    x = 16,091,778,571.79/137,225.70
  6. Step 6: Final answer
    x = 117,265.05

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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.