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Finding the Fourth Proportional to 175,301, 262,820.22 and 56,901.64

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Solution

The fourth proportional to 175,301, 262,820.22 and 56,901.64 is: 85,309.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,301 : 262,820.22 = 56,901.64 : x
  2. Step 2: Convert to fraction form
    175,301/262,820.22 = 56,901.64/x
  3. Step 3: Cross multiply
    175,301x = 262,820.22 × 56,901.64
  4. Step 4: Simplify right side
    175,301x = 14,954,901,543.16
  5. Step 5: Solve for x
    x = 14,954,901,543.16/175,301
  6. Step 6: Final answer
    x = 85,309.85

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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.