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Finding the Fourth Proportional to 357,153.37, 535,321.81 and 146,530.69

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Solution

The fourth proportional to 357,153.37, 535,321.81 and 146,530.69 is: 219,628.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,153.37 : 535,321.81 = 146,530.69 : x
  2. Step 2: Convert to fraction form
    357,153.37/535,321.81 = 146,530.69/x
  3. Step 3: Cross multiply
    357,153.37x = 535,321.81 × 146,530.69
  4. Step 4: Simplify right side
    357,153.37x = 78,441,073,036.21
  5. Step 5: Solve for x
    x = 78,441,073,036.21/357,153.37
  6. Step 6: Final answer
    x = 219,628.54

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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.