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Finding the Fourth Proportional to 289,663.80, 434,495.70 and 123,430.20

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Solution

The fourth proportional to 289,663.80, 434,495.70 and 123,430.20 is: 185,145.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,663.80 : 434,495.70 = 123,430.20 : x
  2. Step 2: Convert to fraction form
    289,663.80/434,495.70 = 123,430.20/x
  3. Step 3: Cross multiply
    289,663.80x = 434,495.70 × 123,430.20
  4. Step 4: Simplify right side
    289,663.80x = 53,629,891,150.14
  5. Step 5: Solve for x
    x = 53,629,891,150.14/289,663.80
  6. Step 6: Final answer
    x = 185,145.30

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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.