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Finding the Fourth Proportional to 194,645.76, 291,943.44 and 61,539.40

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Solution

The fourth proportional to 194,645.76, 291,943.44 and 61,539.40 is: 92,301.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,645.76 : 291,943.44 = 61,539.40 : x
  2. Step 2: Convert to fraction form
    194,645.76/291,943.44 = 61,539.40/x
  3. Step 3: Cross multiply
    194,645.76x = 291,943.44 × 61,539.40
  4. Step 4: Simplify right side
    194,645.76x = 17,966,024,131.54
  5. Step 5: Solve for x
    x = 17,966,024,131.54/194,645.76
  6. Step 6: Final answer
    x = 92,301.13

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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.