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Finding the Fourth Proportional to 107,155.20, 147,703.40 and 84,459

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Solution

The fourth proportional to 107,155.20, 147,703.40 and 84,459 is: 116,418.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,155.20 : 147,703.40 = 84,459 : x
  2. Step 2: Convert to fraction form
    107,155.20/147,703.40 = 84,459/x
  3. Step 3: Cross multiply
    107,155.20x = 147,703.40 × 84,459
  4. Step 4: Simplify right side
    107,155.20x = 12,474,881,460.60
  5. Step 5: Solve for x
    x = 12,474,881,460.60/107,155.20
  6. Step 6: Final answer
    x = 116,418.82

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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.