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Finding the Fourth Proportional to 202,642.32, 303,506.64 and 97,539.96

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Solution

The fourth proportional to 202,642.32, 303,506.64 and 97,539.96 is: 146,090.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,642.32 : 303,506.64 = 97,539.96 : x
  2. Step 2: Convert to fraction form
    202,642.32/303,506.64 = 97,539.96/x
  3. Step 3: Cross multiply
    202,642.32x = 303,506.64 × 97,539.96
  4. Step 4: Simplify right side
    202,642.32x = 29,604,025,525.33
  5. Step 5: Solve for x
    x = 29,604,025,525.33/202,642.32
  6. Step 6: Final answer
    x = 146,090.04

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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.