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Finding the Fourth Proportional to 255,389.08, 352,437.60 and 140,665

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Solution

The fourth proportional to 255,389.08, 352,437.60 and 140,665 is: 194,118.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,389.08 : 352,437.60 = 140,665 : x
  2. Step 2: Convert to fraction form
    255,389.08/352,437.60 = 140,665/x
  3. Step 3: Cross multiply
    255,389.08x = 352,437.60 × 140,665
  4. Step 4: Simplify right side
    255,389.08x = 49,575,635,004
  5. Step 5: Solve for x
    x = 49,575,635,004/255,389.08
  6. Step 6: Final answer
    x = 194,118.07

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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.