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Finding the Fourth Proportional to 224,374.04, 336,273.10 and 97,980.02

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Solution

The fourth proportional to 224,374.04, 336,273.10 and 97,980.02 is: 146,844.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,374.04 : 336,273.10 = 97,980.02 : x
  2. Step 2: Convert to fraction form
    224,374.04/336,273.10 = 97,980.02/x
  3. Step 3: Cross multiply
    224,374.04x = 336,273.10 × 97,980.02
  4. Step 4: Simplify right side
    224,374.04x = 32,948,045,063.46
  5. Step 5: Solve for x
    x = 32,948,045,063.46/224,374.04
  6. Step 6: Final answer
    x = 146,844.28

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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.