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Finding the Fourth Proportional to 140,510.94, 210,785.85 and 57,385.50

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Solution

The fourth proportional to 140,510.94, 210,785.85 and 57,385.50 is: 86,086.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,510.94 : 210,785.85 = 57,385.50 : x
  2. Step 2: Convert to fraction form
    140,510.94/210,785.85 = 57,385.50/x
  3. Step 3: Cross multiply
    140,510.94x = 210,785.85 × 57,385.50
  4. Step 4: Simplify right side
    140,510.94x = 12,096,051,395.18
  5. Step 5: Solve for x
    x = 12,096,051,395.18/140,510.94
  6. Step 6: Final answer
    x = 86,086.19

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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.