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Finding the Fourth Proportional to 106,992.14, 147,688.02 and 62,280.14

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Solution

The fourth proportional to 106,992.14, 147,688.02 and 62,280.14 is: 85,969.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,992.14 : 147,688.02 = 62,280.14 : x
  2. Step 2: Convert to fraction form
    106,992.14/147,688.02 = 62,280.14/x
  3. Step 3: Cross multiply
    106,992.14x = 147,688.02 × 62,280.14
  4. Step 4: Simplify right side
    106,992.14x = 9,198,030,561.92
  5. Step 5: Solve for x
    x = 9,198,030,561.92/106,992.14
  6. Step 6: Final answer
    x = 85,969.22

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1.5x scale

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.