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Finding the Fourth Proportional to 214,740.83, 322,039.72 and 86,624.02

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Solution

The fourth proportional to 214,740.83, 322,039.72 and 86,624.02 is: 129,907.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,740.83 : 322,039.72 = 86,624.02 : x
  2. Step 2: Convert to fraction form
    214,740.83/322,039.72 = 86,624.02/x
  3. Step 3: Cross multiply
    214,740.83x = 322,039.72 × 86,624.02
  4. Step 4: Simplify right side
    214,740.83x = 27,896,374,089.06
  5. Step 5: Solve for x
    x = 27,896,374,089.06/214,740.83
  6. Step 6: Final answer
    x = 129,907.17

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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.