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Finding the Fourth Proportional to 229,157.82, 343,603.52 and 153,343.02

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Solution

The fourth proportional to 229,157.82, 343,603.52 and 153,343.02 is: 229,925.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,157.82 : 343,603.52 = 153,343.02 : x
  2. Step 2: Convert to fraction form
    229,157.82/343,603.52 = 153,343.02/x
  3. Step 3: Cross multiply
    229,157.82x = 343,603.52 × 153,343.02
  4. Step 4: Simplify right side
    229,157.82x = 52,689,201,439.43
  5. Step 5: Solve for x
    x = 52,689,201,439.43/229,157.82
  6. Step 6: Final answer
    x = 229,925.39

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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.