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Finding the Fourth Proportional to 264,900.52, 397,341.87 and 115,140.70

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Solution

The fourth proportional to 264,900.52, 397,341.87 and 115,140.70 is: 172,707.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,900.52 : 397,341.87 = 115,140.70 : x
  2. Step 2: Convert to fraction form
    264,900.52/397,341.87 = 115,140.70/x
  3. Step 3: Cross multiply
    264,900.52x = 397,341.87 × 115,140.70
  4. Step 4: Simplify right side
    264,900.52x = 45,750,221,051.11
  5. Step 5: Solve for x
    x = 45,750,221,051.11/264,900.52
  6. Step 6: Final answer
    x = 172,707.18

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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.