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Finding the Fourth Proportional to 142,461.84, 213,686.82 and 37,278.48

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Solution

The fourth proportional to 142,461.84, 213,686.82 and 37,278.48 is: 55,916.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,461.84 : 213,686.82 = 37,278.48 : x
  2. Step 2: Convert to fraction form
    142,461.84/213,686.82 = 37,278.48/x
  3. Step 3: Cross multiply
    142,461.84x = 213,686.82 × 37,278.48
  4. Step 4: Simplify right side
    142,461.84x = 7,965,919,845.63
  5. Step 5: Solve for x
    x = 7,965,919,845.63/142,461.84
  6. Step 6: Final answer
    x = 55,916.17

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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.