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Finding the Fourth Proportional to 152,830.65, 229,256.10 and 40,509.30

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Solution

The fourth proportional to 152,830.65, 229,256.10 and 40,509.30 is: 60,766.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,830.65 : 229,256.10 = 40,509.30 : x
  2. Step 2: Convert to fraction form
    152,830.65/229,256.10 = 40,509.30/x
  3. Step 3: Cross multiply
    152,830.65x = 229,256.10 × 40,509.30
  4. Step 4: Simplify right side
    152,830.65x = 9,287,004,131.73
  5. Step 5: Solve for x
    x = 9,287,004,131.73/152,830.65
  6. Step 6: Final answer
    x = 60,766.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.