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Finding the Fourth Proportional to 264,903.90, 365,562.18 and 144,044.16

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Solution

The fourth proportional to 264,903.90, 365,562.18 and 144,044.16 is: 198,778.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,903.90 : 365,562.18 = 144,044.16 : x
  2. Step 2: Convert to fraction form
    264,903.90/365,562.18 = 144,044.16/x
  3. Step 3: Cross multiply
    264,903.90x = 365,562.18 × 144,044.16
  4. Step 4: Simplify right side
    264,903.90x = 52,657,097,145.87
  5. Step 5: Solve for x
    x = 52,657,097,145.87/264,903.90
  6. Step 6: Final answer
    x = 198,778.11

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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.