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Finding the Fourth Proportional to 140,217.40, 210,326.10 and 57,111.40

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Solution

The fourth proportional to 140,217.40, 210,326.10 and 57,111.40 is: 85,667.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,217.40 : 210,326.10 = 57,111.40 : x
  2. Step 2: Convert to fraction form
    140,217.40/210,326.10 = 57,111.40/x
  3. Step 3: Cross multiply
    140,217.40x = 210,326.10 × 57,111.40
  4. Step 4: Simplify right side
    140,217.40x = 12,012,018,027.54
  5. Step 5: Solve for x
    x = 12,012,018,027.54/140,217.40
  6. Step 6: Final answer
    x = 85,667.10

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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.