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Finding the Fourth Proportional to 355,107.64, 532,726.74 and 105,761.08

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Solution

The fourth proportional to 355,107.64, 532,726.74 and 105,761.08 is: 158,661.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,107.64 : 532,726.74 = 105,761.08 : x
  2. Step 2: Convert to fraction form
    355,107.64/532,726.74 = 105,761.08/x
  3. Step 3: Cross multiply
    355,107.64x = 532,726.74 × 105,761.08
  4. Step 4: Simplify right side
    355,107.64x = 56,341,755,367.28
  5. Step 5: Solve for x
    x = 56,341,755,367.28/355,107.64
  6. Step 6: Final answer
    x = 158,661.06

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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.