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Finding the Fourth Proportional to 289,695.63, 434,668.01 and 140,048.45

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Solution

The fourth proportional to 289,695.63, 434,668.01 and 140,048.45 is: 210,132.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,695.63 : 434,668.01 = 140,048.45 : x
  2. Step 2: Convert to fraction form
    289,695.63/434,668.01 = 140,048.45/x
  3. Step 3: Cross multiply
    289,695.63x = 434,668.01 × 140,048.45
  4. Step 4: Simplify right side
    289,695.63x = 60,874,578,191.50
  5. Step 5: Solve for x
    x = 60,874,578,191.50/289,695.63
  6. Step 6: Final answer
    x = 210,132.88

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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.