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Finding the Fourth Proportional to 238,446.72, 357,741.63 and 96,218.82

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Solution

The fourth proportional to 238,446.72, 357,741.63 and 96,218.82 is: 144,357.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,446.72 : 357,741.63 = 96,218.82 : x
  2. Step 2: Convert to fraction form
    238,446.72/357,741.63 = 96,218.82/x
  3. Step 3: Cross multiply
    238,446.72x = 357,741.63 × 96,218.82
  4. Step 4: Simplify right side
    238,446.72x = 34,421,477,503.48
  5. Step 5: Solve for x
    x = 34,421,477,503.48/238,446.72
  6. Step 6: Final answer
    x = 144,357.10

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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.