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Finding the Fourth Proportional to 172,653.50, 238,266.70 and 97,202

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Solution

The fourth proportional to 172,653.50, 238,266.70 and 97,202 is: 134,141.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,653.50 : 238,266.70 = 97,202 : x
  2. Step 2: Convert to fraction form
    172,653.50/238,266.70 = 97,202/x
  3. Step 3: Cross multiply
    172,653.50x = 238,266.70 × 97,202
  4. Step 4: Simplify right side
    172,653.50x = 23,159,999,773.40
  5. Step 5: Solve for x
    x = 23,159,999,773.40/172,653.50
  6. Step 6: Final answer
    x = 134,141.50

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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.