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Finding the Fourth Proportional to 292,523.45, 438,947.09 and 142,764.98

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Solution

The fourth proportional to 292,523.45, 438,947.09 and 142,764.98 is: 214,226.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,523.45 : 438,947.09 = 142,764.98 : x
  2. Step 2: Convert to fraction form
    292,523.45/438,947.09 = 142,764.98/x
  3. Step 3: Cross multiply
    292,523.45x = 438,947.09 × 142,764.98
  4. Step 4: Simplify right side
    292,523.45x = 62,666,273,443.82
  5. Step 5: Solve for x
    x = 62,666,273,443.82/292,523.45
  6. Step 6: Final answer
    x = 214,226.49

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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.