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Finding the Fourth Proportional to 262,269.77, 361,931.69 and 147,548.49

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Solution

The fourth proportional to 262,269.77, 361,931.69 and 147,548.49 is: 203,616.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,269.77 : 361,931.69 = 147,548.49 : x
  2. Step 2: Convert to fraction form
    262,269.77/361,931.69 = 147,548.49/x
  3. Step 3: Cross multiply
    262,269.77x = 361,931.69 × 147,548.49
  4. Step 4: Simplify right side
    262,269.77x = 53,402,473,604.91
  5. Step 5: Solve for x
    x = 53,402,473,604.91/262,269.77
  6. Step 6: Final answer
    x = 203,616.58

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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.