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Finding the Fourth Proportional to 202,098.20, 302,952.90 and 157,094.60

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Solution

The fourth proportional to 202,098.20, 302,952.90 and 157,094.60 is: 235,490.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,098.20 : 302,952.90 = 157,094.60 : x
  2. Step 2: Convert to fraction form
    202,098.20/302,952.90 = 157,094.60/x
  3. Step 3: Cross multiply
    202,098.20x = 302,952.90 × 157,094.60
  4. Step 4: Simplify right side
    202,098.20x = 47,592,264,644.34
  5. Step 5: Solve for x
    x = 47,592,264,644.34/202,098.20
  6. Step 6: Final answer
    x = 235,490.79

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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.