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Finding the Fourth Proportional to 105,925.77, 158,827.14 and 42,694.16

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Solution

The fourth proportional to 105,925.77, 158,827.14 and 42,694.16 is: 64,016.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,925.77 : 158,827.14 = 42,694.16 : x
  2. Step 2: Convert to fraction form
    105,925.77/158,827.14 = 42,694.16/x
  3. Step 3: Cross multiply
    105,925.77x = 158,827.14 × 42,694.16
  4. Step 4: Simplify right side
    105,925.77x = 6,780,990,533.37
  5. Step 5: Solve for x
    x = 6,780,990,533.37/105,925.77
  6. Step 6: Final answer
    x = 64,016.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.