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Finding the Fourth Proportional to 264,970.27, 365,655.40 and 144,108.96

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Solution

The fourth proportional to 264,970.27, 365,655.40 and 144,108.96 is: 198,868.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,970.27 : 365,655.40 = 144,108.96 : x
  2. Step 2: Convert to fraction form
    264,970.27/365,655.40 = 144,108.96/x
  3. Step 3: Cross multiply
    264,970.27x = 365,655.40 × 144,108.96
  4. Step 4: Simplify right side
    264,970.27x = 52,694,219,412.38
  5. Step 5: Solve for x
    x = 52,694,219,412.38/264,970.27
  6. Step 6: Final answer
    x = 198,868.42

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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.