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Finding the Fourth Proportional to 235,138, 324,492.82 and 127,710.13

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Solution

The fourth proportional to 235,138, 324,492.82 and 127,710.13 is: 176,241.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,138 : 324,492.82 = 127,710.13 : x
  2. Step 2: Convert to fraction form
    235,138/324,492.82 = 127,710.13/x
  3. Step 3: Cross multiply
    235,138x = 324,492.82 × 127,710.13
  4. Step 4: Simplify right side
    235,138x = 41,441,020,226.27
  5. Step 5: Solve for x
    x = 41,441,020,226.27/235,138
  6. Step 6: Final answer
    x = 176,241.27

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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.