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Finding the Fourth Proportional to 214,200.58, 321,368.02 and 128,904.50

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Solution

The fourth proportional to 214,200.58, 321,368.02 and 128,904.50 is: 193,397.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,200.58 : 321,368.02 = 128,904.50 : x
  2. Step 2: Convert to fraction form
    214,200.58/321,368.02 = 128,904.50/x
  3. Step 3: Cross multiply
    214,200.58x = 321,368.02 × 128,904.50
  4. Step 4: Simplify right side
    214,200.58x = 41,425,784,144.60
  5. Step 5: Solve for x
    x = 41,425,784,144.60/214,200.58
  6. Step 6: Final answer
    x = 193,397.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.