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Finding the Fourth Proportional to 112,253.36, 154,909.32 and 61,952

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Solution

The fourth proportional to 112,253.36, 154,909.32 and 61,952 is: 85,493.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,253.36 : 154,909.32 = 61,952 : x
  2. Step 2: Convert to fraction form
    112,253.36/154,909.32 = 61,952/x
  3. Step 3: Cross multiply
    112,253.36x = 154,909.32 × 61,952
  4. Step 4: Simplify right side
    112,253.36x = 9,596,942,192.64
  5. Step 5: Solve for x
    x = 9,596,942,192.64/112,253.36
  6. Step 6: Final answer
    x = 85,493.59

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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.