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Finding the Fourth Proportional to 112,285, 154,953.30 and 61,984.36

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Solution

The fourth proportional to 112,285, 154,953.30 and 61,984.36 is: 85,538.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,285 : 154,953.30 = 61,984.36 : x
  2. Step 2: Convert to fraction form
    112,285/154,953.30 = 61,984.36/x
  3. Step 3: Cross multiply
    112,285x = 154,953.30 × 61,984.36
  4. Step 4: Simplify right side
    112,285x = 9,604,681,130.39
  5. Step 5: Solve for x
    x = 9,604,681,130.39/112,285
  6. Step 6: Final answer
    x = 85,538.42

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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.