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Finding the Fourth Proportional to 145,830.30, 218,745.45 and 122,502.30

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Solution

The fourth proportional to 145,830.30, 218,745.45 and 122,502.30 is: 183,753.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,830.30 : 218,745.45 = 122,502.30 : x
  2. Step 2: Convert to fraction form
    145,830.30/218,745.45 = 122,502.30/x
  3. Step 3: Cross multiply
    145,830.30x = 218,745.45 × 122,502.30
  4. Step 4: Simplify right side
    145,830.30x = 26,796,820,739.54
  5. Step 5: Solve for x
    x = 26,796,820,739.54/145,830.30
  6. Step 6: Final answer
    x = 183,753.45

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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.