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Finding the Fourth Proportional to 143,206.94, 214,808.16 and 35,137.46

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Solution

The fourth proportional to 143,206.94, 214,808.16 and 35,137.46 is: 52,705.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,206.94 : 214,808.16 = 35,137.46 : x
  2. Step 2: Convert to fraction form
    143,206.94/214,808.16 = 35,137.46/x
  3. Step 3: Cross multiply
    143,206.94x = 214,808.16 × 35,137.46
  4. Step 4: Simplify right side
    143,206.94x = 7,547,813,129.67
  5. Step 5: Solve for x
    x = 7,547,813,129.67/143,206.94
  6. Step 6: Final answer
    x = 52,705.64

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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.