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Finding the Fourth Proportional to 140,522.58, 210,784.14 and 35,341.65

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Solution

The fourth proportional to 140,522.58, 210,784.14 and 35,341.65 is: 53,012.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,522.58 : 210,784.14 = 35,341.65 : x
  2. Step 2: Convert to fraction form
    140,522.58/210,784.14 = 35,341.65/x
  3. Step 3: Cross multiply
    140,522.58x = 210,784.14 × 35,341.65
  4. Step 4: Simplify right side
    140,522.58x = 7,449,459,301.43
  5. Step 5: Solve for x
    x = 7,449,459,301.43/140,522.58
  6. Step 6: Final answer
    x = 53,012.54

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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.