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Finding the Fourth Proportional to 194,154.84, 291,232.38 and 53,913.48

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Solution

The fourth proportional to 194,154.84, 291,232.38 and 53,913.48 is: 80,870.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,154.84 : 291,232.38 = 53,913.48 : x
  2. Step 2: Convert to fraction form
    194,154.84/291,232.38 = 53,913.48/x
  3. Step 3: Cross multiply
    194,154.84x = 291,232.38 × 53,913.48
  4. Step 4: Simplify right side
    194,154.84x = 15,701,351,094.48
  5. Step 5: Solve for x
    x = 15,701,351,094.48/194,154.84
  6. Step 6: Final answer
    x = 80,870.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.