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Finding the Fourth Proportional to 175,738, 242,518.08 and 95,165.50

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Solution

The fourth proportional to 175,738, 242,518.08 and 95,165.50 is: 131,328.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,738 : 242,518.08 = 95,165.50 : x
  2. Step 2: Convert to fraction form
    175,738/242,518.08 = 95,165.50/x
  3. Step 3: Cross multiply
    175,738x = 242,518.08 × 95,165.50
  4. Step 4: Simplify right side
    175,738x = 23,079,354,342.24
  5. Step 5: Solve for x
    x = 23,079,354,342.24/175,738
  6. Step 6: Final answer
    x = 131,328.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.