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Finding the Fourth Proportional to 230,238.94, 317,730.23 and 133,461.46

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Solution

The fourth proportional to 230,238.94, 317,730.23 and 133,461.46 is: 184,177.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,238.94 : 317,730.23 = 133,461.46 : x
  2. Step 2: Convert to fraction form
    230,238.94/317,730.23 = 133,461.46/x
  3. Step 3: Cross multiply
    230,238.94x = 317,730.23 × 133,461.46
  4. Step 4: Simplify right side
    230,238.94x = 42,404,740,381.94
  5. Step 5: Solve for x
    x = 42,404,740,381.94/230,238.94
  6. Step 6: Final answer
    x = 184,177.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.