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Finding the Fourth Proportional to 194,232.84, 291,349.52 and 111,068.52

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Solution

The fourth proportional to 194,232.84, 291,349.52 and 111,068.52 is: 166,602.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,232.84 : 291,349.52 = 111,068.52 : x
  2. Step 2: Convert to fraction form
    194,232.84/291,349.52 = 111,068.52/x
  3. Step 3: Cross multiply
    194,232.84x = 291,349.52 × 111,068.52
  4. Step 4: Simplify right side
    194,232.84x = 32,359,759,989.11
  5. Step 5: Solve for x
    x = 32,359,759,989.11/194,232.84
  6. Step 6: Final answer
    x = 166,602.93

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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.