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Finding the Fourth Proportional to 243,090.42, 364,674.51 and 102,850.26

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Solution

The fourth proportional to 243,090.42, 364,674.51 and 102,850.26 is: 154,291.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,090.42 : 364,674.51 = 102,850.26 : x
  2. Step 2: Convert to fraction form
    243,090.42/364,674.51 = 102,850.26/x
  3. Step 3: Cross multiply
    243,090.42x = 364,674.51 × 102,850.26
  4. Step 4: Simplify right side
    243,090.42x = 37,506,868,168.87
  5. Step 5: Solve for x
    x = 37,506,868,168.87/243,090.42
  6. Step 6: Final answer
    x = 154,291.84

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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.