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Finding the Fourth Proportional to 178,424, 246,225.12 and 98,936

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Solution

The fourth proportional to 178,424, 246,225.12 and 98,936 is: 136,531.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,424 : 246,225.12 = 98,936 : x
  2. Step 2: Convert to fraction form
    178,424/246,225.12 = 98,936/x
  3. Step 3: Cross multiply
    178,424x = 246,225.12 × 98,936
  4. Step 4: Simplify right side
    178,424x = 24,360,528,472.32
  5. Step 5: Solve for x
    x = 24,360,528,472.32/178,424
  6. Step 6: Final answer
    x = 136,531.68

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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.