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Finding the Fourth Proportional to 357,165.40, 535,310.70 and 157,273.60

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Solution

The fourth proportional to 357,165.40, 535,310.70 and 157,273.60 is: 235,717.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,165.40 : 535,310.70 = 157,273.60 : x
  2. Step 2: Convert to fraction form
    357,165.40/535,310.70 = 157,273.60/x
  3. Step 3: Cross multiply
    357,165.40x = 535,310.70 × 157,273.60
  4. Step 4: Simplify right side
    357,165.40x = 84,190,240,907.52
  5. Step 5: Solve for x
    x = 84,190,240,907.52/357,165.40
  6. Step 6: Final answer
    x = 235,717.80

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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.