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Finding the Fourth Proportional to 172,225.68, 237,678.48 and 96,774

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Solution

The fourth proportional to 172,225.68, 237,678.48 and 96,774 is: 133,552.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,225.68 : 237,678.48 = 96,774 : x
  2. Step 2: Convert to fraction form
    172,225.68/237,678.48 = 96,774/x
  3. Step 3: Cross multiply
    172,225.68x = 237,678.48 × 96,774
  4. Step 4: Simplify right side
    172,225.68x = 23,001,097,223.52
  5. Step 5: Solve for x
    x = 23,001,097,223.52/172,225.68
  6. Step 6: Final answer
    x = 133,552.08

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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.