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Finding the Fourth Proportional to 130,645.93, 195,830.16 and 83,111.50

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Solution

The fourth proportional to 130,645.93, 195,830.16 and 83,111.50 is: 124,578.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,645.93 : 195,830.16 = 83,111.50 : x
  2. Step 2: Convert to fraction form
    130,645.93/195,830.16 = 83,111.50/x
  3. Step 3: Cross multiply
    130,645.93x = 195,830.16 × 83,111.50
  4. Step 4: Simplify right side
    130,645.93x = 16,275,738,342.84
  5. Step 5: Solve for x
    x = 16,275,738,342.84/130,645.93
  6. Step 6: Final answer
    x = 124,578.99

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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.