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Finding the Fourth Proportional to 195,248.50, 292,538.42 and 106,564.26

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Solution

The fourth proportional to 195,248.50, 292,538.42 and 106,564.26 is: 159,663.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,248.50 : 292,538.42 = 106,564.26 : x
  2. Step 2: Convert to fraction form
    195,248.50/292,538.42 = 106,564.26/x
  3. Step 3: Cross multiply
    195,248.50x = 292,538.42 × 106,564.26
  4. Step 4: Simplify right side
    195,248.50x = 31,174,140,248.87
  5. Step 5: Solve for x
    x = 31,174,140,248.87/195,248.50
  6. Step 6: Final answer
    x = 159,663.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.