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Finding the Fourth Proportional to 172,948, 238,668.24 and 93,460

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Solution

The fourth proportional to 172,948, 238,668.24 and 93,460 is: 128,974.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,948 : 238,668.24 = 93,460 : x
  2. Step 2: Convert to fraction form
    172,948/238,668.24 = 93,460/x
  3. Step 3: Cross multiply
    172,948x = 238,668.24 × 93,460
  4. Step 4: Simplify right side
    172,948x = 22,305,933,710.40
  5. Step 5: Solve for x
    x = 22,305,933,710.40/172,948
  6. Step 6: Final answer
    x = 128,974.80

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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.