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Finding the Fourth Proportional to 289,393.94, 434,239.10 and 137,762.63

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Solution

The fourth proportional to 289,393.94, 434,239.10 and 137,762.63 is: 206,714.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,393.94 : 434,239.10 = 137,762.63 : x
  2. Step 2: Convert to fraction form
    289,393.94/434,239.10 = 137,762.63/x
  3. Step 3: Cross multiply
    289,393.94x = 434,239.10 × 137,762.63
  4. Step 4: Simplify right side
    289,393.94x = 59,821,918,638.04
  5. Step 5: Solve for x
    x = 59,821,918,638.04/289,393.94
  6. Step 6: Final answer
    x = 206,714.49

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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.