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Finding the Fourth Proportional to 189,465.80, 284,328.30 and 105,225.80

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Solution

The fourth proportional to 189,465.80, 284,328.30 and 105,225.80 is: 157,910.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,465.80 : 284,328.30 = 105,225.80 : x
  2. Step 2: Convert to fraction form
    189,465.80/284,328.30 = 105,225.80/x
  3. Step 3: Cross multiply
    189,465.80x = 284,328.30 × 105,225.80
  4. Step 4: Simplify right side
    189,465.80x = 29,918,672,830.14
  5. Step 5: Solve for x
    x = 29,918,672,830.14/189,465.80
  6. Step 6: Final answer
    x = 157,910.68

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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.