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Finding the Fourth Proportional to 263,598.32, 363,854.40 and 160,232.15

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Solution

The fourth proportional to 263,598.32, 363,854.40 and 160,232.15 is: 221,174.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,598.32 : 363,854.40 = 160,232.15 : x
  2. Step 2: Convert to fraction form
    263,598.32/363,854.40 = 160,232.15/x
  3. Step 3: Cross multiply
    263,598.32x = 363,854.40 × 160,232.15
  4. Step 4: Simplify right side
    263,598.32x = 58,301,172,798.96
  5. Step 5: Solve for x
    x = 58,301,172,798.96/263,598.32
  6. Step 6: Final answer
    x = 221,174.30

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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.