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Finding the Fourth Proportional to 194,495.56, 291,792.54 and 54,254.08

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Solution

The fourth proportional to 194,495.56, 291,792.54 and 54,254.08 is: 81,394.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,495.56 : 291,792.54 = 54,254.08 : x
  2. Step 2: Convert to fraction form
    194,495.56/291,792.54 = 54,254.08/x
  3. Step 3: Cross multiply
    194,495.56x = 291,792.54 × 54,254.08
  4. Step 4: Simplify right side
    194,495.56x = 15,830,935,808.56
  5. Step 5: Solve for x
    x = 15,830,935,808.56/194,495.56
  6. Step 6: Final answer
    x = 81,394.84

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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.