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Finding the Fourth Proportional to 137,300.74, 205,579.42 and 97,154.71

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Solution

The fourth proportional to 137,300.74, 205,579.42 and 97,154.71 is: 145,469.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,300.74 : 205,579.42 = 97,154.71 : x
  2. Step 2: Convert to fraction form
    137,300.74/205,579.42 = 97,154.71/x
  3. Step 3: Cross multiply
    137,300.74x = 205,579.42 × 97,154.71
  4. Step 4: Simplify right side
    137,300.74x = 19,973,009,310.49
  5. Step 5: Solve for x
    x = 19,973,009,310.49/137,300.74
  6. Step 6: Final answer
    x = 145,469.06

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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.