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Finding the Fourth Proportional to 292,393.87, 438,237.60 and 142,409.41

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Solution

The fourth proportional to 292,393.87, 438,237.60 and 142,409.41 is: 213,442.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,393.87 : 438,237.60 = 142,409.41 : x
  2. Step 2: Convert to fraction form
    292,393.87/438,237.60 = 142,409.41/x
  3. Step 3: Cross multiply
    292,393.87x = 438,237.60 × 142,409.41
  4. Step 4: Simplify right side
    292,393.87x = 62,409,158,055.82
  5. Step 5: Solve for x
    x = 62,409,158,055.82/292,393.87
  6. Step 6: Final answer
    x = 213,442.09

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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.