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Finding the Fourth Proportional to 140,471.12, 210,706.90 and 57,365.12

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Solution

The fourth proportional to 140,471.12, 210,706.90 and 57,365.12 is: 86,047.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,471.12 : 210,706.90 = 57,365.12 : x
  2. Step 2: Convert to fraction form
    140,471.12/210,706.90 = 57,365.12/x
  3. Step 3: Cross multiply
    140,471.12x = 210,706.90 × 57,365.12
  4. Step 4: Simplify right side
    140,471.12x = 12,087,226,603.33
  5. Step 5: Solve for x
    x = 12,087,226,603.33/140,471.12
  6. Step 6: Final answer
    x = 86,047.77

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1.5x scale

Why These Related Problems?

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