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Finding the Fourth Proportional to 224,063.72, 336,145.42 and 97,724.40

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Solution

The fourth proportional to 224,063.72, 336,145.42 and 97,724.40 is: 146,608.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,063.72 : 336,145.42 = 97,724.40 : x
  2. Step 2: Convert to fraction form
    224,063.72/336,145.42 = 97,724.40/x
  3. Step 3: Cross multiply
    224,063.72x = 336,145.42 × 97,724.40
  4. Step 4: Simplify right side
    224,063.72x = 32,849,609,482.25
  5. Step 5: Solve for x
    x = 32,849,609,482.25/224,063.72
  6. Step 6: Final answer
    x = 146,608.34

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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.