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Finding the Fourth Proportional to 106,903.49, 147,356.87 and 84,206.54

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Solution

The fourth proportional to 106,903.49, 147,356.87 and 84,206.54 is: 116,071.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,903.49 : 147,356.87 = 84,206.54 : x
  2. Step 2: Convert to fraction form
    106,903.49/147,356.87 = 84,206.54/x
  3. Step 3: Cross multiply
    106,903.49x = 147,356.87 × 84,206.54
  4. Step 4: Simplify right side
    106,903.49x = 12,408,411,010.11
  5. Step 5: Solve for x
    x = 12,408,411,010.11/106,903.49
  6. Step 6: Final answer
    x = 116,071.16

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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.