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Finding the Fourth Proportional to 214,897.53, 322,235.06 and 96,466.89

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Solution

The fourth proportional to 214,897.53, 322,235.06 and 96,466.89 is: 144,650.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,897.53 : 322,235.06 = 96,466.89 : x
  2. Step 2: Convert to fraction form
    214,897.53/322,235.06 = 96,466.89/x
  3. Step 3: Cross multiply
    214,897.53x = 322,235.06 × 96,466.89
  4. Step 4: Simplify right side
    214,897.53x = 31,085,013,604.83
  5. Step 5: Solve for x
    x = 31,085,013,604.83/214,897.53
  6. Step 6: Final answer
    x = 144,650.40

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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.