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Finding the Fourth Proportional to 185,851.17, 256,477.73 and 100,968.30

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Solution

The fourth proportional to 185,851.17, 256,477.73 and 100,968.30 is: 139,337.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,851.17 : 256,477.73 = 100,968.30 : x
  2. Step 2: Convert to fraction form
    185,851.17/256,477.73 = 100,968.30/x
  3. Step 3: Cross multiply
    185,851.17x = 256,477.73 × 100,968.30
  4. Step 4: Simplify right side
    185,851.17x = 25,896,119,881.12
  5. Step 5: Solve for x
    x = 25,896,119,881.12/185,851.17
  6. Step 6: Final answer
    x = 139,337.94

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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.