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Finding the Fourth Proportional to 178,259.44, 245,945.28 and 101,776

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Solution

The fourth proportional to 178,259.44, 245,945.28 and 101,776 is: 140,420.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,259.44 : 245,945.28 = 101,776 : x
  2. Step 2: Convert to fraction form
    178,259.44/245,945.28 = 101,776/x
  3. Step 3: Cross multiply
    178,259.44x = 245,945.28 × 101,776
  4. Step 4: Simplify right side
    178,259.44x = 25,031,326,817.28
  5. Step 5: Solve for x
    x = 25,031,326,817.28/178,259.44
  6. Step 6: Final answer
    x = 140,420.76

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