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Finding the Fourth Proportional to 224,389.18, 336,602.31 and 161,502.01

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Solution

The fourth proportional to 224,389.18, 336,602.31 and 161,502.01 is: 242,266.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,389.18 : 336,602.31 = 161,502.01 : x
  2. Step 2: Convert to fraction form
    224,389.18/336,602.31 = 161,502.01/x
  3. Step 3: Cross multiply
    224,389.18x = 336,602.31 × 161,502.01
  4. Step 4: Simplify right side
    224,389.18x = 54,361,949,635.64
  5. Step 5: Solve for x
    x = 54,361,949,635.64/224,389.18
  6. Step 6: Final answer
    x = 242,266.36

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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.