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Finding the Fourth Proportional to 193,955.04, 290,939.28 and 53,724

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Solution

The fourth proportional to 193,955.04, 290,939.28 and 53,724 is: 80,587.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,955.04 : 290,939.28 = 53,724 : x
  2. Step 2: Convert to fraction form
    193,955.04/290,939.28 = 53,724/x
  3. Step 3: Cross multiply
    193,955.04x = 290,939.28 × 53,724
  4. Step 4: Simplify right side
    193,955.04x = 15,630,421,878.72
  5. Step 5: Solve for x
    x = 15,630,421,878.72/193,955.04
  6. Step 6: Final answer
    x = 80,587.86

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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.