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Finding the Fourth Proportional to 235,492.49, 353,189.25 and 77,683.97

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Solution

The fourth proportional to 235,492.49, 353,189.25 and 77,683.97 is: 116,509.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,492.49 : 353,189.25 = 77,683.97 : x
  2. Step 2: Convert to fraction form
    235,492.49/353,189.25 = 77,683.97/x
  3. Step 3: Cross multiply
    235,492.49x = 353,189.25 × 77,683.97
  4. Step 4: Simplify right side
    235,492.49x = 27,437,141,335.38
  5. Step 5: Solve for x
    x = 27,437,141,335.38/235,492.49
  6. Step 6: Final answer
    x = 116,509.63

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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.