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Finding the Fourth Proportional to 123,248.53, 184,949.33 and 78,907.11

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Solution

The fourth proportional to 123,248.53, 184,949.33 and 78,907.11 is: 118,409.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,248.53 : 184,949.33 = 78,907.11 : x
  2. Step 2: Convert to fraction form
    123,248.53/184,949.33 = 78,907.11/x
  3. Step 3: Cross multiply
    123,248.53x = 184,949.33 × 78,907.11
  4. Step 4: Simplify right side
    123,248.53x = 14,593,817,126.74
  5. Step 5: Solve for x
    x = 14,593,817,126.74/123,248.53
  6. Step 6: Final answer
    x = 118,409.66

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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.