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Finding the Fourth Proportional to 189,233.53, 283,946.28 and 104,978.14

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Solution

The fourth proportional to 189,233.53, 283,946.28 and 104,978.14 is: 157,520.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,233.53 : 283,946.28 = 104,978.14 : x
  2. Step 2: Convert to fraction form
    189,233.53/283,946.28 = 104,978.14/x
  3. Step 3: Cross multiply
    189,233.53x = 283,946.28 × 104,978.14
  4. Step 4: Simplify right side
    189,233.53x = 29,808,152,334.32
  5. Step 5: Solve for x
    x = 29,808,152,334.32/189,233.53
  6. Step 6: Final answer
    x = 157,520.46

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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.