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Finding the Fourth Proportional to 145,896.19, 201,336.74 and 78,828.19

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Solution

The fourth proportional to 145,896.19, 201,336.74 and 78,828.19 is: 108,782.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,896.19 : 201,336.74 = 78,828.19 : x
  2. Step 2: Convert to fraction form
    145,896.19/201,336.74 = 78,828.19/x
  3. Step 3: Cross multiply
    145,896.19x = 201,336.74 × 78,828.19
  4. Step 4: Simplify right side
    145,896.19x = 15,871,010,192.82
  5. Step 5: Solve for x
    x = 15,871,010,192.82/145,896.19
  6. Step 6: Final answer
    x = 108,782.90

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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.