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Finding the Fourth Proportional to 456,106.34, 684,199.60 and 119,144.32

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Solution

The fourth proportional to 456,106.34, 684,199.60 and 119,144.32 is: 178,726.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,106.34 : 684,199.60 = 119,144.32 : x
  2. Step 2: Convert to fraction form
    456,106.34/684,199.60 = 119,144.32/x
  3. Step 3: Cross multiply
    456,106.34x = 684,199.60 × 119,144.32
  4. Step 4: Simplify right side
    456,106.34x = 81,518,496,086.27
  5. Step 5: Solve for x
    x = 81,518,496,086.27/456,106.34
  6. Step 6: Final answer
    x = 178,726.95

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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.