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Finding the Fourth Proportional to 194,323.36, 291,492.72 and 54,094.24

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Solution

The fourth proportional to 194,323.36, 291,492.72 and 54,094.24 is: 81,143.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,323.36 : 291,492.72 = 54,094.24 : x
  2. Step 2: Convert to fraction form
    194,323.36/291,492.72 = 54,094.24/x
  3. Step 3: Cross multiply
    194,323.36x = 291,492.72 × 54,094.24
  4. Step 4: Simplify right side
    194,323.36x = 15,768,077,153.93
  5. Step 5: Solve for x
    x = 15,768,077,153.93/194,323.36
  6. Step 6: Final answer
    x = 81,143.50

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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.