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Finding the Fourth Proportional to 195,248.40, 292,538.28 and 106,564.14

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Solution

The fourth proportional to 195,248.40, 292,538.28 and 106,564.14 is: 159,663.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,248.40 : 292,538.28 = 106,564.14 : x
  2. Step 2: Convert to fraction form
    195,248.40/292,538.28 = 106,564.14/x
  3. Step 3: Cross multiply
    195,248.40x = 292,538.28 × 106,564.14
  4. Step 4: Simplify right side
    195,248.40x = 31,174,088,229.77
  5. Step 5: Solve for x
    x = 31,174,088,229.77/195,248.40
  6. Step 6: Final answer
    x = 159,663.73

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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.