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Finding the Fourth Proportional to 104,990.20, 157,006.50 and 78,355

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Solution

The fourth proportional to 104,990.20, 157,006.50 and 78,355 is: 117,175.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,990.20 : 157,006.50 = 78,355 : x
  2. Step 2: Convert to fraction form
    104,990.20/157,006.50 = 78,355/x
  3. Step 3: Cross multiply
    104,990.20x = 157,006.50 × 78,355
  4. Step 4: Simplify right side
    104,990.20x = 12,302,244,307.50
  5. Step 5: Solve for x
    x = 12,302,244,307.50/104,990.20
  6. Step 6: Final answer
    x = 117,175.17

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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.