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Finding the Fourth Proportional to 172,134, 237,567.20 and 96,682.50

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Solution

The fourth proportional to 172,134, 237,567.20 and 96,682.50 is: 133,434.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,134 : 237,567.20 = 96,682.50 : x
  2. Step 2: Convert to fraction form
    172,134/237,567.20 = 96,682.50/x
  3. Step 3: Cross multiply
    172,134x = 237,567.20 × 96,682.50
  4. Step 4: Simplify right side
    172,134x = 22,968,590,330.59
  5. Step 5: Solve for x
    x = 22,968,590,330.59/172,134
  6. Step 6: Final answer
    x = 133,434.36

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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.