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Finding the Fourth Proportional to 257,202.01, 355,031.94 and 209,372.32

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Solution

The fourth proportional to 257,202.01, 355,031.94 and 209,372.32 is: 289,009.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,202.01 : 355,031.94 = 209,372.32 : x
  2. Step 2: Convert to fraction form
    257,202.01/355,031.94 = 209,372.32/x
  3. Step 3: Cross multiply
    257,202.01x = 355,031.94 × 209,372.32
  4. Step 4: Simplify right side
    257,202.01x = 74,333,860,951.90
  5. Step 5: Solve for x
    x = 74,333,860,951.90/257,202.01
  6. Step 6: Final answer
    x = 289,009.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.