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Finding the Fourth Proportional to 229,007.63, 343,345.37 and 153,941.59

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Solution

The fourth proportional to 229,007.63, 343,345.37 and 153,941.59 is: 230,800.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,007.63 : 343,345.37 = 153,941.59 : x
  2. Step 2: Convert to fraction form
    229,007.63/343,345.37 = 153,941.59/x
  3. Step 3: Cross multiply
    229,007.63x = 343,345.37 × 153,941.59
  4. Step 4: Simplify right side
    229,007.63x = 52,855,131,520.19
  5. Step 5: Solve for x
    x = 52,855,131,520.19/229,007.63
  6. Step 6: Final answer
    x = 230,800.74

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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.