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Finding the Fourth Proportional to 175,461.93, 241,851.83 and 137,153.86

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Solution

The fourth proportional to 175,461.93, 241,851.83 and 137,153.86 is: 189,049.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,461.93 : 241,851.83 = 137,153.86 : x
  2. Step 2: Convert to fraction form
    175,461.93/241,851.83 = 137,153.86/x
  3. Step 3: Cross multiply
    175,461.93x = 241,851.83 × 137,153.86
  4. Step 4: Simplify right side
    175,461.93x = 33,170,910,742.16
  5. Step 5: Solve for x
    x = 33,170,910,742.16/175,461.93
  6. Step 6: Final answer
    x = 189,049.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.