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Finding the Fourth Proportional to 265,543.21, 398,156.77 and 105,532.57

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Solution

The fourth proportional to 265,543.21, 398,156.77 and 105,532.57 is: 158,236.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,543.21 : 398,156.77 = 105,532.57 : x
  2. Step 2: Convert to fraction form
    265,543.21/398,156.77 = 105,532.57/x
  3. Step 3: Cross multiply
    265,543.21x = 398,156.77 × 105,532.57
  4. Step 4: Simplify right side
    265,543.21x = 42,018,507,201.00
  5. Step 5: Solve for x
    x = 42,018,507,201.00/265,543.21
  6. Step 6: Final answer
    x = 158,236.04

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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.