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Finding the Fourth Proportional to 214,928.40, 322,315.80 and 96,656.40

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Solution

The fourth proportional to 214,928.40, 322,315.80 and 96,656.40 is: 144,950.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,928.40 : 322,315.80 = 96,656.40 : x
  2. Step 2: Convert to fraction form
    214,928.40/322,315.80 = 96,656.40/x
  3. Step 3: Cross multiply
    214,928.40x = 322,315.80 × 96,656.40
  4. Step 4: Simplify right side
    214,928.40x = 31,153,884,891.12
  5. Step 5: Solve for x
    x = 31,153,884,891.12/214,928.40
  6. Step 6: Final answer
    x = 144,950.06

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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.