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Finding the Fourth Proportional to 259,371, 357,931.98 and 140,139

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Solution

The fourth proportional to 259,371, 357,931.98 and 140,139 is: 193,391.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,371 : 357,931.98 = 140,139 : x
  2. Step 2: Convert to fraction form
    259,371/357,931.98 = 140,139/x
  3. Step 3: Cross multiply
    259,371x = 357,931.98 × 140,139
  4. Step 4: Simplify right side
    259,371x = 50,160,229,745.22
  5. Step 5: Solve for x
    x = 50,160,229,745.22/259,371
  6. Step 6: Final answer
    x = 193,391.82

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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.