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Finding the Fourth Proportional to 238,405.38, 357,498.81 and 142,386.54

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Solution

The fourth proportional to 238,405.38, 357,498.81 and 142,386.54 is: 213,514.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,405.38 : 357,498.81 = 142,386.54 : x
  2. Step 2: Convert to fraction form
    238,405.38/357,498.81 = 142,386.54/x
  3. Step 3: Cross multiply
    238,405.38x = 357,498.81 × 142,386.54
  4. Step 4: Simplify right side
    238,405.38x = 50,903,018,610.02
  5. Step 5: Solve for x
    x = 50,903,018,610.02/238,405.38
  6. Step 6: Final answer
    x = 213,514.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.