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Finding the Fourth Proportional to 258,916.85, 357,305.30 and 151,507.50

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Solution

The fourth proportional to 258,916.85, 357,305.30 and 151,507.50 is: 209,080.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,916.85 : 357,305.30 = 151,507.50 : x
  2. Step 2: Convert to fraction form
    258,916.85/357,305.30 = 151,507.50/x
  3. Step 3: Cross multiply
    258,916.85x = 357,305.30 × 151,507.50
  4. Step 4: Simplify right side
    258,916.85x = 54,134,432,739.75
  5. Step 5: Solve for x
    x = 54,134,432,739.75/258,916.85
  6. Step 6: Final answer
    x = 209,080.38

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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.