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Finding the Fourth Proportional to 214,735.81, 322,038.10 and 102,356.82

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Solution

The fourth proportional to 214,735.81, 322,038.10 and 102,356.82 is: 153,503.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,735.81 : 322,038.10 = 102,356.82 : x
  2. Step 2: Convert to fraction form
    214,735.81/322,038.10 = 102,356.82/x
  3. Step 3: Cross multiply
    214,735.81x = 322,038.10 × 102,356.82
  4. Step 4: Simplify right side
    214,735.81x = 32,962,795,834.84
  5. Step 5: Solve for x
    x = 32,962,795,834.84/214,735.81
  6. Step 6: Final answer
    x = 153,503.95

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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.