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Finding the Fourth Proportional to 175,233.52, 241,822.02 and 99,782.02

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Solution

The fourth proportional to 175,233.52, 241,822.02 and 99,782.02 is: 137,699.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,233.52 : 241,822.02 = 99,782.02 : x
  2. Step 2: Convert to fraction form
    175,233.52/241,822.02 = 99,782.02/x
  3. Step 3: Cross multiply
    175,233.52x = 241,822.02 × 99,782.02
  4. Step 4: Simplify right side
    175,233.52x = 24,129,489,636.08
  5. Step 5: Solve for x
    x = 24,129,489,636.08/175,233.52
  6. Step 6: Final answer
    x = 137,699.05

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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.