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Finding the Fourth Proportional to 259,353.18, 357,917.40 and 146,173.50

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Solution

The fourth proportional to 259,353.18, 357,917.40 and 146,173.50 is: 201,725.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,353.18 : 357,917.40 = 146,173.50 : x
  2. Step 2: Convert to fraction form
    259,353.18/357,917.40 = 146,173.50/x
  3. Step 3: Cross multiply
    259,353.18x = 357,917.40 × 146,173.50
  4. Step 4: Simplify right side
    259,353.18x = 52,318,039,068.90
  5. Step 5: Solve for x
    x = 52,318,039,068.90/259,353.18
  6. Step 6: Final answer
    x = 201,725.07

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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.