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Finding the Fourth Proportional to 152,993.22, 229,579.65 and 64,239.90

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Solution

The fourth proportional to 152,993.22, 229,579.65 and 64,239.90 is: 96,397.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,993.22 : 229,579.65 = 64,239.90 : x
  2. Step 2: Convert to fraction form
    152,993.22/229,579.65 = 64,239.90/x
  3. Step 3: Cross multiply
    152,993.22x = 229,579.65 × 64,239.90
  4. Step 4: Simplify right side
    152,993.22x = 14,748,173,758.04
  5. Step 5: Solve for x
    x = 14,748,173,758.04/152,993.22
  6. Step 6: Final answer
    x = 96,397.56

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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.