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Finding the Fourth Proportional to 172,651.50, 238,263.93 and 97,200

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Solution

The fourth proportional to 172,651.50, 238,263.93 and 97,200 is: 134,138.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,651.50 : 238,263.93 = 97,200 : x
  2. Step 2: Convert to fraction form
    172,651.50/238,263.93 = 97,200/x
  3. Step 3: Cross multiply
    172,651.50x = 238,263.93 × 97,200
  4. Step 4: Simplify right side
    172,651.50x = 23,159,253,996
  5. Step 5: Solve for x
    x = 23,159,253,996/172,651.50
  6. Step 6: Final answer
    x = 134,138.74

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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.