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Finding the Fourth Proportional to 233,174.70, 349,038.04 and 126,293.20

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Solution

The fourth proportional to 233,174.70, 349,038.04 and 126,293.20 is: 189,047.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,174.70 : 349,038.04 = 126,293.20 : x
  2. Step 2: Convert to fraction form
    233,174.70/349,038.04 = 126,293.20/x
  3. Step 3: Cross multiply
    233,174.70x = 349,038.04 × 126,293.20
  4. Step 4: Simplify right side
    233,174.70x = 44,081,129,805.00
  5. Step 5: Solve for x
    x = 44,081,129,805.00/233,174.70
  6. Step 6: Final answer
    x = 189,047.65

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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.