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Finding the Fourth Proportional to 123,146.46, 184,386.54 and 63,857.49

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Solution

The fourth proportional to 123,146.46, 184,386.54 and 63,857.49 is: 95,613.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,146.46 : 184,386.54 = 63,857.49 : x
  2. Step 2: Convert to fraction form
    123,146.46/184,386.54 = 63,857.49/x
  3. Step 3: Cross multiply
    123,146.46x = 184,386.54 × 63,857.49
  4. Step 4: Simplify right side
    123,146.46x = 11,774,461,314.90
  5. Step 5: Solve for x
    x = 11,774,461,314.90/123,146.46
  6. Step 6: Final answer
    x = 95,613.48

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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.