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Finding the Fourth Proportional to 106,114.75, 146,459.16 and 60,823.11

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Solution

The fourth proportional to 106,114.75, 146,459.16 and 60,823.11 is: 83,947.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,114.75 : 146,459.16 = 60,823.11 : x
  2. Step 2: Convert to fraction form
    106,114.75/146,459.16 = 60,823.11/x
  3. Step 3: Cross multiply
    106,114.75x = 146,459.16 × 60,823.11
  4. Step 4: Simplify right side
    106,114.75x = 8,908,101,599.19
  5. Step 5: Solve for x
    x = 8,908,101,599.19/106,114.75
  6. Step 6: Final answer
    x = 83,947.82

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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.