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Finding the Fourth Proportional to 233,774.35, 322,459.00 and 162,128.23

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Solution

The fourth proportional to 233,774.35, 322,459.00 and 162,128.23 is: 223,633.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,774.35 : 322,459.00 = 162,128.23 : x
  2. Step 2: Convert to fraction form
    233,774.35/322,459.00 = 162,128.23/x
  3. Step 3: Cross multiply
    233,774.35x = 322,459.00 × 162,128.23
  4. Step 4: Simplify right side
    233,774.35x = 52,279,705,706.10
  5. Step 5: Solve for x
    x = 52,279,705,706.10/233,774.35
  6. Step 6: Final answer
    x = 223,633.20

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