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Finding the Fourth Proportional to 243,104.51, 364,656.78 and 65,611.24

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Solution

The fourth proportional to 243,104.51, 364,656.78 and 65,611.24 is: 98,416.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,104.51 : 364,656.78 = 65,611.24 : x
  2. Step 2: Convert to fraction form
    243,104.51/364,656.78 = 65,611.24/x
  3. Step 3: Cross multiply
    243,104.51x = 364,656.78 × 65,611.24
  4. Step 4: Simplify right side
    243,104.51x = 23,925,582,598.57
  5. Step 5: Solve for x
    x = 23,925,582,598.57/243,104.51
  6. Step 6: Final answer
    x = 98,416.86

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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.