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Finding the Fourth Proportional to 202,429.44, 303,448.32 and 97,223.04

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Solution

The fourth proportional to 202,429.44, 303,448.32 and 97,223.04 is: 145,740.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,429.44 : 303,448.32 = 97,223.04 : x
  2. Step 2: Convert to fraction form
    202,429.44/303,448.32 = 97,223.04/x
  3. Step 3: Cross multiply
    202,429.44x = 303,448.32 × 97,223.04
  4. Step 4: Simplify right side
    202,429.44x = 29,502,168,153.29
  5. Step 5: Solve for x
    x = 29,502,168,153.29/202,429.44
  6. Step 6: Final answer
    x = 145,740.50

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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.