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Finding the Fourth Proportional to 243,194.40, 364,597.20 and 102,837.60

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Solution

The fourth proportional to 243,194.40, 364,597.20 and 102,837.60 is: 154,174.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,194.40 : 364,597.20 = 102,837.60 : x
  2. Step 2: Convert to fraction form
    243,194.40/364,597.20 = 102,837.60/x
  3. Step 3: Cross multiply
    243,194.40x = 364,597.20 × 102,837.60
  4. Step 4: Simplify right side
    243,194.40x = 37,494,301,014.72
  5. Step 5: Solve for x
    x = 37,494,301,014.72/243,194.40
  6. Step 6: Final answer
    x = 154,174.20

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1.5x scale

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.