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Finding the Fourth Proportional to 153,172.96, 229,794.87 and 51,965.58

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Solution

The fourth proportional to 153,172.96, 229,794.87 and 51,965.58 is: 77,960.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,172.96 : 229,794.87 = 51,965.58 : x
  2. Step 2: Convert to fraction form
    153,172.96/229,794.87 = 51,965.58/x
  3. Step 3: Cross multiply
    153,172.96x = 229,794.87 × 51,965.58
  4. Step 4: Simplify right side
    153,172.96x = 11,941,424,757.18
  5. Step 5: Solve for x
    x = 11,941,424,757.18/153,172.96
  6. Step 6: Final answer
    x = 77,960.40

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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.