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Finding the Fourth Proportional to 114,075.61, 171,142.58 and 47,493.61

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Solution

The fourth proportional to 114,075.61, 171,142.58 and 47,493.61 is: 71,252.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,075.61 : 171,142.58 = 47,493.61 : x
  2. Step 2: Convert to fraction form
    114,075.61/171,142.58 = 47,493.61/x
  3. Step 3: Cross multiply
    114,075.61x = 171,142.58 × 47,493.61
  4. Step 4: Simplify right side
    114,075.61x = 8,128,178,948.91
  5. Step 5: Solve for x
    x = 8,128,178,948.91/114,075.61
  6. Step 6: Final answer
    x = 71,252.56

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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.