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Finding the Fourth Proportional to 264,881.78, 365,526.79 and 144,023.17

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Solution

The fourth proportional to 264,881.78, 365,526.79 and 144,023.17 is: 198,746.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,881.78 : 365,526.79 = 144,023.17 : x
  2. Step 2: Convert to fraction form
    264,881.78/365,526.79 = 144,023.17/x
  3. Step 3: Cross multiply
    264,881.78x = 365,526.79 × 144,023.17
  4. Step 4: Simplify right side
    264,881.78x = 52,644,327,015.72
  5. Step 5: Solve for x
    x = 52,644,327,015.72/264,881.78
  6. Step 6: Final answer
    x = 198,746.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.