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Finding the Fourth Proportional to 243,141.60, 364,539.60 and 110,085.60

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Solution

The fourth proportional to 243,141.60, 364,539.60 and 110,085.60 is: 165,050.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,141.60 : 364,539.60 = 110,085.60 : x
  2. Step 2: Convert to fraction form
    243,141.60/364,539.60 = 110,085.60/x
  3. Step 3: Cross multiply
    243,141.60x = 364,539.60 × 110,085.60
  4. Step 4: Simplify right side
    243,141.60x = 40,130,560,589.76
  5. Step 5: Solve for x
    x = 40,130,560,589.76/243,141.60
  6. Step 6: Final answer
    x = 165,050.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.