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Finding the Fourth Proportional to 234,275.46, 351,490.95 and 76,509.06

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Solution

The fourth proportional to 234,275.46, 351,490.95 and 76,509.06 is: 114,788.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,275.46 : 351,490.95 = 76,509.06 : x
  2. Step 2: Convert to fraction form
    234,275.46/351,490.95 = 76,509.06/x
  3. Step 3: Cross multiply
    234,275.46x = 351,490.95 × 76,509.06
  4. Step 4: Simplify right side
    234,275.46x = 26,892,242,183.01
  5. Step 5: Solve for x
    x = 26,892,242,183.01/234,275.46
  6. Step 6: Final answer
    x = 114,788.98

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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.