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Finding the Fourth Proportional to 172,048, 237,426.24 and 96,596.50

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Solution

The fourth proportional to 172,048, 237,426.24 and 96,596.50 is: 133,303.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,048 : 237,426.24 = 96,596.50 : x
  2. Step 2: Convert to fraction form
    172,048/237,426.24 = 96,596.50/x
  3. Step 3: Cross multiply
    172,048x = 237,426.24 × 96,596.50
  4. Step 4: Simplify right side
    172,048x = 22,934,543,792.16
  5. Step 5: Solve for x
    x = 22,934,543,792.16/172,048
  6. Step 6: Final answer
    x = 133,303.17

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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.