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Finding the Fourth Proportional to 132,653.76, 182,713.49 and 101,968.16

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Solution

The fourth proportional to 132,653.76, 182,713.49 and 101,968.16 is: 140,448.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,653.76 : 182,713.49 = 101,968.16 : x
  2. Step 2: Convert to fraction form
    132,653.76/182,713.49 = 101,968.16/x
  3. Step 3: Cross multiply
    132,653.76x = 182,713.49 × 101,968.16
  4. Step 4: Simplify right side
    132,653.76x = 18,630,957,341.45
  5. Step 5: Solve for x
    x = 18,630,957,341.45/132,653.76
  6. Step 6: Final answer
    x = 140,448.02

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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.