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Finding the Fourth Proportional to 106,916, 147,374.10 and 84,219.06

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Solution

The fourth proportional to 106,916, 147,374.10 and 84,219.06 is: 116,088.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,916 : 147,374.10 = 84,219.06 : x
  2. Step 2: Convert to fraction form
    106,916/147,374.10 = 84,219.06/x
  3. Step 3: Cross multiply
    106,916x = 147,374.10 × 84,219.06
  4. Step 4: Simplify right side
    106,916x = 12,411,708,170.35
  5. Step 5: Solve for x
    x = 12,411,708,170.35/106,916
  6. Step 6: Final answer
    x = 116,088.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.