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Finding the Fourth Proportional to 127,710.36, 176,219.19 and 77,409.36

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Solution

The fourth proportional to 127,710.36, 176,219.19 and 77,409.36 is: 106,812.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,710.36 : 176,219.19 = 77,409.36 : x
  2. Step 2: Convert to fraction form
    127,710.36/176,219.19 = 77,409.36/x
  3. Step 3: Cross multiply
    127,710.36x = 176,219.19 × 77,409.36
  4. Step 4: Simplify right side
    127,710.36x = 13,641,014,717.62
  5. Step 5: Solve for x
    x = 13,641,014,717.62/127,710.36
  6. Step 6: Final answer
    x = 106,812.12

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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.