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Finding the Fourth Proportional to 137,427.60, 205,987.80 and 78,291.60

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Solution

The fourth proportional to 137,427.60, 205,987.80 and 78,291.60 is: 117,349.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,427.60 : 205,987.80 = 78,291.60 : x
  2. Step 2: Convert to fraction form
    137,427.60/205,987.80 = 78,291.60/x
  3. Step 3: Cross multiply
    137,427.60x = 205,987.80 × 78,291.60
  4. Step 4: Simplify right side
    137,427.60x = 16,127,114,442.48
  5. Step 5: Solve for x
    x = 16,127,114,442.48/137,427.60
  6. Step 6: Final answer
    x = 117,349.90

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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.