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Finding the Fourth Proportional to 354,906.10, 532,359.15 and 105,588.10

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Solution

The fourth proportional to 354,906.10, 532,359.15 and 105,588.10 is: 158,382.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,906.10 : 532,359.15 = 105,588.10 : x
  2. Step 2: Convert to fraction form
    354,906.10/532,359.15 = 105,588.10/x
  3. Step 3: Cross multiply
    354,906.10x = 532,359.15 × 105,588.10
  4. Step 4: Simplify right side
    354,906.10x = 56,210,791,166.12
  5. Step 5: Solve for x
    x = 56,210,791,166.12/354,906.10
  6. Step 6: Final answer
    x = 158,382.15

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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.