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Finding the Fourth Proportional to 242,049.90, 362,742.69 and 153,144.25

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Solution

The fourth proportional to 242,049.90, 362,742.69 and 153,144.25 is: 229,506.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,049.90 : 362,742.69 = 153,144.25 : x
  2. Step 2: Convert to fraction form
    242,049.90/362,742.69 = 153,144.25/x
  3. Step 3: Cross multiply
    242,049.90x = 362,742.69 × 153,144.25
  4. Step 4: Simplify right side
    242,049.90x = 55,551,957,323.90
  5. Step 5: Solve for x
    x = 55,551,957,323.90/242,049.90
  6. Step 6: Final answer
    x = 229,506.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.