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Finding the Fourth Proportional to 133,031.97, 183,569.09 and 76,461.57

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Solution

The fourth proportional to 133,031.97, 183,569.09 and 76,461.57 is: 105,508.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,031.97 : 183,569.09 = 76,461.57 : x
  2. Step 2: Convert to fraction form
    133,031.97/183,569.09 = 76,461.57/x
  3. Step 3: Cross multiply
    133,031.97x = 183,569.09 × 76,461.57
  4. Step 4: Simplify right side
    133,031.97x = 14,035,980,442.56
  5. Step 5: Solve for x
    x = 14,035,980,442.56/133,031.97
  6. Step 6: Final answer
    x = 105,508.33

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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.