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Finding the Fourth Proportional to 194,528.56, 291,792.56 and 76,116.80

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Solution

The fourth proportional to 194,528.56, 291,792.56 and 76,116.80 is: 114,175.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,528.56 : 291,792.56 = 76,116.80 : x
  2. Step 2: Convert to fraction form
    194,528.56/291,792.56 = 76,116.80/x
  3. Step 3: Cross multiply
    194,528.56x = 291,792.56 × 76,116.80
  4. Step 4: Simplify right side
    194,528.56x = 22,210,315,931.01
  5. Step 5: Solve for x
    x = 22,210,315,931.01/194,528.56
  6. Step 6: Final answer
    x = 114,175.09

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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.