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Finding the Fourth Proportional to 214,985.80, 322,395.72 and 70,857.01

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Solution

The fourth proportional to 214,985.80, 322,395.72 and 70,857.01 is: 106,258.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,985.80 : 322,395.72 = 70,857.01 : x
  2. Step 2: Convert to fraction form
    214,985.80/322,395.72 = 70,857.01/x
  3. Step 3: Cross multiply
    214,985.80x = 322,395.72 × 70,857.01
  4. Step 4: Simplify right side
    214,985.80x = 22,843,996,756.00
  5. Step 5: Solve for x
    x = 22,843,996,756.00/214,985.80
  6. Step 6: Final answer
    x = 106,258.17

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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.