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Finding the Fourth Proportional to 214,927.40, 322,314.30 and 96,655.40

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Solution

The fourth proportional to 214,927.40, 322,314.30 and 96,655.40 is: 144,948.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,927.40 : 322,314.30 = 96,655.40 : x
  2. Step 2: Convert to fraction form
    214,927.40/322,314.30 = 96,655.40/x
  3. Step 3: Cross multiply
    214,927.40x = 322,314.30 × 96,655.40
  4. Step 4: Simplify right side
    214,927.40x = 31,153,417,592.22
  5. Step 5: Solve for x
    x = 31,153,417,592.22/214,927.40
  6. Step 6: Final answer
    x = 144,948.56

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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.