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Finding the Fourth Proportional to 194,070.94, 291,106.41 and 53,829.56

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Solution

The fourth proportional to 194,070.94, 291,106.41 and 53,829.56 is: 80,744.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,070.94 : 291,106.41 = 53,829.56 : x
  2. Step 2: Convert to fraction form
    194,070.94/291,106.41 = 53,829.56/x
  3. Step 3: Cross multiply
    194,070.94x = 291,106.41 × 53,829.56
  4. Step 4: Simplify right side
    194,070.94x = 15,670,130,489.38
  5. Step 5: Solve for x
    x = 15,670,130,489.38/194,070.94
  6. Step 6: Final answer
    x = 80,744.34

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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.