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Finding the Fourth Proportional to 123,107.54, 184,792.53 and 118,646.06

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Solution

The fourth proportional to 123,107.54, 184,792.53 and 118,646.06 is: 178,095.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,107.54 : 184,792.53 = 118,646.06 : x
  2. Step 2: Convert to fraction form
    123,107.54/184,792.53 = 118,646.06/x
  3. Step 3: Cross multiply
    123,107.54x = 184,792.53 × 118,646.06
  4. Step 4: Simplify right side
    123,107.54x = 21,924,905,601.93
  5. Step 5: Solve for x
    x = 21,924,905,601.93/123,107.54
  6. Step 6: Final answer
    x = 178,095.55

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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.