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Finding the Fourth Proportional to 258,614.10, 357,111.72 and 190,748.70

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Solution

The fourth proportional to 258,614.10, 357,111.72 and 190,748.70 is: 263,398.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,614.10 : 357,111.72 = 190,748.70 : x
  2. Step 2: Convert to fraction form
    258,614.10/357,111.72 = 190,748.70/x
  3. Step 3: Cross multiply
    258,614.10x = 357,111.72 × 190,748.70
  4. Step 4: Simplify right side
    258,614.10x = 68,118,596,344.76
  5. Step 5: Solve for x
    x = 68,118,596,344.76/258,614.10
  6. Step 6: Final answer
    x = 263,398.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.