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Finding the Fourth Proportional to 295,469.04, 443,203.56 and 137,807.76

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Solution

The fourth proportional to 295,469.04, 443,203.56 and 137,807.76 is: 206,711.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,469.04 : 443,203.56 = 137,807.76 : x
  2. Step 2: Convert to fraction form
    295,469.04/443,203.56 = 137,807.76/x
  3. Step 3: Cross multiply
    295,469.04x = 443,203.56 × 137,807.76
  4. Step 4: Simplify right side
    295,469.04x = 61,076,889,827.63
  5. Step 5: Solve for x
    x = 61,076,889,827.63/295,469.04
  6. Step 6: Final answer
    x = 206,711.64

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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.