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Finding the Fourth Proportional to 143,307.84, 214,708.60 and 87,033.04

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Solution

The fourth proportional to 143,307.84, 214,708.60 and 87,033.04 is: 130,395.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,307.84 : 214,708.60 = 87,033.04 : x
  2. Step 2: Convert to fraction form
    143,307.84/214,708.60 = 87,033.04/x
  3. Step 3: Cross multiply
    143,307.84x = 214,708.60 × 87,033.04
  4. Step 4: Simplify right side
    143,307.84x = 18,686,742,172.14
  5. Step 5: Solve for x
    x = 18,686,742,172.14/143,307.84
  6. Step 6: Final answer
    x = 130,395.81

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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.