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Finding the Fourth Proportional to 103,647.90, 155,356.65 and 56,934.30

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Solution

The fourth proportional to 103,647.90, 155,356.65 and 56,934.30 is: 85,338.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,647.90 : 155,356.65 = 56,934.30 : x
  2. Step 2: Convert to fraction form
    103,647.90/155,356.65 = 56,934.30/x
  3. Step 3: Cross multiply
    103,647.90x = 155,356.65 × 56,934.30
  4. Step 4: Simplify right side
    103,647.90x = 8,845,122,118.10
  5. Step 5: Solve for x
    x = 8,845,122,118.10/103,647.90
  6. Step 6: Final answer
    x = 85,338.17

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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.