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Finding the Fourth Proportional to 233,595.78, 322,362.27 and 126,165.78

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Solution

The fourth proportional to 233,595.78, 322,362.27 and 126,165.78 is: 174,108.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,595.78 : 322,362.27 = 126,165.78 : x
  2. Step 2: Convert to fraction form
    233,595.78/322,362.27 = 126,165.78/x
  3. Step 3: Cross multiply
    233,595.78x = 322,362.27 × 126,165.78
  4. Step 4: Simplify right side
    233,595.78x = 40,671,087,237.12
  5. Step 5: Solve for x
    x = 40,671,087,237.12/233,595.78
  6. Step 6: Final answer
    x = 174,108.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.