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Finding the Fourth Proportional to 107,138.06, 147,820.59 and 84,406.50

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Solution

The fourth proportional to 107,138.06, 147,820.59 and 84,406.50 is: 116,457.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,138.06 : 147,820.59 = 84,406.50 : x
  2. Step 2: Convert to fraction form
    107,138.06/147,820.59 = 84,406.50/x
  3. Step 3: Cross multiply
    107,138.06x = 147,820.59 × 84,406.50
  4. Step 4: Simplify right side
    107,138.06x = 12,477,018,207.80
  5. Step 5: Solve for x
    x = 12,477,018,207.80/107,138.06
  6. Step 6: Final answer
    x = 116,457.39

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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.