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Finding the Fourth Proportional to 214,874.64, 322,223.27 and 93,303.09

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Solution

The fourth proportional to 214,874.64, 322,223.27 and 93,303.09 is: 139,916.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,874.64 : 322,223.27 = 93,303.09 : x
  2. Step 2: Convert to fraction form
    214,874.64/322,223.27 = 93,303.09/x
  3. Step 3: Cross multiply
    214,874.64x = 322,223.27 × 93,303.09
  4. Step 4: Simplify right side
    214,874.64x = 30,064,426,294.39
  5. Step 5: Solve for x
    x = 30,064,426,294.39/214,874.64
  6. Step 6: Final answer
    x = 139,916.12

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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.