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Finding the Fourth Proportional to 194,993.76, 292,492.08 and 61,874.40

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Solution

The fourth proportional to 194,993.76, 292,492.08 and 61,874.40 is: 92,812.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,993.76 : 292,492.08 = 61,874.40 : x
  2. Step 2: Convert to fraction form
    194,993.76/292,492.08 = 61,874.40/x
  3. Step 3: Cross multiply
    194,993.76x = 292,492.08 × 61,874.40
  4. Step 4: Simplify right side
    194,993.76x = 18,097,771,954.75
  5. Step 5: Solve for x
    x = 18,097,771,954.75/194,993.76
  6. Step 6: Final answer
    x = 92,812.06

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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.