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Finding the Fourth Proportional to 152,762.52, 229,169.16 and 64,022.70

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Solution

The fourth proportional to 152,762.52, 229,169.16 and 64,022.70 is: 96,044.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,762.52 : 229,169.16 = 64,022.70 : x
  2. Step 2: Convert to fraction form
    152,762.52/229,169.16 = 64,022.70/x
  3. Step 3: Cross multiply
    152,762.52x = 229,169.16 × 64,022.70
  4. Step 4: Simplify right side
    152,762.52x = 14,672,028,379.93
  5. Step 5: Solve for x
    x = 14,672,028,379.93/152,762.52
  6. Step 6: Final answer
    x = 96,044.69

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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.