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Finding the Fourth Proportional to 140,055.60, 210,051.36 and 40,215

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Solution

The fourth proportional to 140,055.60, 210,051.36 and 40,215 is: 60,313.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,055.60 : 210,051.36 = 40,215 : x
  2. Step 2: Convert to fraction form
    140,055.60/210,051.36 = 40,215/x
  3. Step 3: Cross multiply
    140,055.60x = 210,051.36 × 40,215
  4. Step 4: Simplify right side
    140,055.60x = 8,447,215,442.40
  5. Step 5: Solve for x
    x = 8,447,215,442.40/140,055.60
  6. Step 6: Final answer
    x = 60,313.30

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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.