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Finding the Fourth Proportional to 232,775.94, 348,475 and 143,743.18

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Solution

The fourth proportional to 232,775.94, 348,475 and 143,743.18 is: 215,189.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,775.94 : 348,475 = 143,743.18 : x
  2. Step 2: Convert to fraction form
    232,775.94/348,475 = 143,743.18/x
  3. Step 3: Cross multiply
    232,775.94x = 348,475 × 143,743.18
  4. Step 4: Simplify right side
    232,775.94x = 50,090,904,650.50
  5. Step 5: Solve for x
    x = 50,090,904,650.50/232,775.94
  6. Step 6: Final answer
    x = 215,189.36

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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.