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Finding the Fourth Proportional to 243,081.42, 364,661.01 and 102,841.26

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Solution

The fourth proportional to 243,081.42, 364,661.01 and 102,841.26 is: 154,278.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,081.42 : 364,661.01 = 102,841.26 : x
  2. Step 2: Convert to fraction form
    243,081.42/364,661.01 = 102,841.26/x
  3. Step 3: Cross multiply
    243,081.42x = 364,661.01 × 102,841.26
  4. Step 4: Simplify right side
    243,081.42x = 37,502,197,741.27
  5. Step 5: Solve for x
    x = 37,502,197,741.27/243,081.42
  6. Step 6: Final answer
    x = 154,278.34

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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.