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Finding the Fourth Proportional to 177,824, 245,397.12 and 98,336

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Solution

The fourth proportional to 177,824, 245,397.12 and 98,336 is: 135,703.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,824 : 245,397.12 = 98,336 : x
  2. Step 2: Convert to fraction form
    177,824/245,397.12 = 98,336/x
  3. Step 3: Cross multiply
    177,824x = 245,397.12 × 98,336
  4. Step 4: Simplify right side
    177,824x = 24,131,371,192.32
  5. Step 5: Solve for x
    x = 24,131,371,192.32/177,824
  6. Step 6: Final answer
    x = 135,703.68

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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.