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Finding the Fourth Proportional to 134,456.54, 201,715.06 and 40,971.74

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Solution

The fourth proportional to 134,456.54, 201,715.06 and 40,971.74 is: 61,466.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,456.54 : 201,715.06 = 40,971.74 : x
  2. Step 2: Convert to fraction form
    134,456.54/201,715.06 = 40,971.74/x
  3. Step 3: Cross multiply
    134,456.54x = 201,715.06 × 40,971.74
  4. Step 4: Simplify right side
    134,456.54x = 8,264,616,992.40
  5. Step 5: Solve for x
    x = 8,264,616,992.40/134,456.54
  6. Step 6: Final answer
    x = 61,466.83

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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.