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Finding the Fourth Proportional to 235,119, 324,464.14 and 127,689.06

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Solution

The fourth proportional to 235,119, 324,464.14 and 127,689.06 is: 176,210.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,119 : 324,464.14 = 127,689.06 : x
  2. Step 2: Convert to fraction form
    235,119/324,464.14 = 127,689.06/x
  3. Step 3: Cross multiply
    235,119x = 324,464.14 × 127,689.06
  4. Step 4: Simplify right side
    235,119x = 41,430,521,040.31
  5. Step 5: Solve for x
    x = 41,430,521,040.31/235,119
  6. Step 6: Final answer
    x = 176,210.86

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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.