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Finding the Fourth Proportional to 164,689.84, 246,444.24 and 142,579.28

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Solution

The fourth proportional to 164,689.84, 246,444.24 and 142,579.28 is: 213,357.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,689.84 : 246,444.24 = 142,579.28 : x
  2. Step 2: Convert to fraction form
    164,689.84/246,444.24 = 142,579.28/x
  3. Step 3: Cross multiply
    164,689.84x = 246,444.24 × 142,579.28
  4. Step 4: Simplify right side
    164,689.84x = 35,137,842,299.35
  5. Step 5: Solve for x
    x = 35,137,842,299.35/164,689.84
  6. Step 6: Final answer
    x = 213,357.68

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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.