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Finding the Fourth Proportional to 141,802.76, 212,503.62 and 78,650.70

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Solution

The fourth proportional to 141,802.76, 212,503.62 and 78,650.70 is: 117,864.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,802.76 : 212,503.62 = 78,650.70 : x
  2. Step 2: Convert to fraction form
    141,802.76/212,503.62 = 78,650.70/x
  3. Step 3: Cross multiply
    141,802.76x = 212,503.62 × 78,650.70
  4. Step 4: Simplify right side
    141,802.76x = 16,713,558,465.53
  5. Step 5: Solve for x
    x = 16,713,558,465.53/141,802.76
  6. Step 6: Final answer
    x = 117,864.83

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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.