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Finding the Fourth Proportional to 123,498, 184,951 and 63,368.24

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Solution

The fourth proportional to 123,498, 184,951 and 63,368.24 is: 94,900.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,498 : 184,951 = 63,368.24 : x
  2. Step 2: Convert to fraction form
    123,498/184,951 = 63,368.24/x
  3. Step 3: Cross multiply
    123,498x = 184,951 × 63,368.24
  4. Step 4: Simplify right side
    123,498x = 11,720,019,356.24
  5. Step 5: Solve for x
    x = 11,720,019,356.24/123,498
  6. Step 6: Final answer
    x = 94,900.48

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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.