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Finding the Fourth Proportional to 145,283.42, 217,927.32 and 55,331.11

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Solution

The fourth proportional to 145,283.42, 217,927.32 and 55,331.11 is: 82,997.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,283.42 : 217,927.32 = 55,331.11 : x
  2. Step 2: Convert to fraction form
    145,283.42/217,927.32 = 55,331.11/x
  3. Step 3: Cross multiply
    145,283.42x = 217,927.32 × 55,331.11
  4. Step 4: Simplify right side
    145,283.42x = 12,058,159,970.11
  5. Step 5: Solve for x
    x = 12,058,159,970.11/145,283.42
  6. Step 6: Final answer
    x = 82,997.49

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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.