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Finding the Fourth Proportional to 103,083.84, 154,348.65 and 65,440.17

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Solution

The fourth proportional to 103,083.84, 154,348.65 and 65,440.17 is: 97,984.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,083.84 : 154,348.65 = 65,440.17 : x
  2. Step 2: Convert to fraction form
    103,083.84/154,348.65 = 65,440.17/x
  3. Step 3: Cross multiply
    103,083.84x = 154,348.65 × 65,440.17
  4. Step 4: Simplify right side
    103,083.84x = 10,100,601,895.27
  5. Step 5: Solve for x
    x = 10,100,601,895.27/103,083.84
  6. Step 6: Final answer
    x = 97,984.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.