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Finding the Fourth Proportional to 194,752.87, 292,142.63 and 114,907.53

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Solution

The fourth proportional to 194,752.87, 292,142.63 and 114,907.53 is: 172,369.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,752.87 : 292,142.63 = 114,907.53 : x
  2. Step 2: Convert to fraction form
    194,752.87/292,142.63 = 114,907.53/x
  3. Step 3: Cross multiply
    194,752.87x = 292,142.63 × 114,907.53
  4. Step 4: Simplify right side
    194,752.87x = 33,569,388,021.00
  5. Step 5: Solve for x
    x = 33,569,388,021.00/194,752.87
  6. Step 6: Final answer
    x = 172,369.16

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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.