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Finding the Fourth Proportional to 214,421.40, 321,632.10 and 96,323.40

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Solution

The fourth proportional to 214,421.40, 321,632.10 and 96,323.40 is: 144,485.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,421.40 : 321,632.10 = 96,323.40 : x
  2. Step 2: Convert to fraction form
    214,421.40/321,632.10 = 96,323.40/x
  3. Step 3: Cross multiply
    214,421.40x = 321,632.10 × 96,323.40
  4. Step 4: Simplify right side
    214,421.40x = 30,980,697,421.14
  5. Step 5: Solve for x
    x = 30,980,697,421.14/214,421.40
  6. Step 6: Final answer
    x = 144,485.10

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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.