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Finding the Fourth Proportional to 178,206, 245,924.28 and 98,718

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Solution

The fourth proportional to 178,206, 245,924.28 and 98,718 is: 136,230.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,206 : 245,924.28 = 98,718 : x
  2. Step 2: Convert to fraction form
    178,206/245,924.28 = 98,718/x
  3. Step 3: Cross multiply
    178,206x = 245,924.28 × 98,718
  4. Step 4: Simplify right side
    178,206x = 24,277,153,073.04
  5. Step 5: Solve for x
    x = 24,277,153,073.04/178,206
  6. Step 6: Final answer
    x = 136,230.84

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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.