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Finding the Fourth Proportional to 119,460.76, 164,787.28 and 74,671

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Solution

The fourth proportional to 119,460.76, 164,787.28 and 74,671 is: 103,003.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,460.76 : 164,787.28 = 74,671 : x
  2. Step 2: Convert to fraction form
    119,460.76/164,787.28 = 74,671/x
  3. Step 3: Cross multiply
    119,460.76x = 164,787.28 × 74,671
  4. Step 4: Simplify right side
    119,460.76x = 12,304,830,984.88
  5. Step 5: Solve for x
    x = 12,304,830,984.88/119,460.76
  6. Step 6: Final answer
    x = 103,003.12

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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.