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Finding the Fourth Proportional to 230,054.58, 317,474.91 and 134,541.54

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Solution

The fourth proportional to 230,054.58, 317,474.91 and 134,541.54 is: 185,667.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,054.58 : 317,474.91 = 134,541.54 : x
  2. Step 2: Convert to fraction form
    230,054.58/317,474.91 = 134,541.54/x
  3. Step 3: Cross multiply
    230,054.58x = 317,474.91 × 134,541.54
  4. Step 4: Simplify right side
    230,054.58x = 42,713,563,302.76
  5. Step 5: Solve for x
    x = 42,713,563,302.76/230,054.58
  6. Step 6: Final answer
    x = 185,667.09

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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.