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Finding the Fourth Proportional to 214,036.40, 321,054.60 and 109,060.40

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Solution

The fourth proportional to 214,036.40, 321,054.60 and 109,060.40 is: 163,590.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,036.40 : 321,054.60 = 109,060.40 : x
  2. Step 2: Convert to fraction form
    214,036.40/321,054.60 = 109,060.40/x
  3. Step 3: Cross multiply
    214,036.40x = 321,054.60 × 109,060.40
  4. Step 4: Simplify right side
    214,036.40x = 35,014,343,097.84
  5. Step 5: Solve for x
    x = 35,014,343,097.84/214,036.40
  6. Step 6: Final answer
    x = 163,590.60

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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.