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Finding the Fourth Proportional to 106,937.57, 147,850.92 and 102,232.13

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Solution

The fourth proportional to 106,937.57, 147,850.92 and 102,232.13 is: 141,345.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,937.57 : 147,850.92 = 102,232.13 : x
  2. Step 2: Convert to fraction form
    106,937.57/147,850.92 = 102,232.13/x
  3. Step 3: Cross multiply
    106,937.57x = 147,850.92 × 102,232.13
  4. Step 4: Simplify right side
    106,937.57x = 15,115,113,734.81
  5. Step 5: Solve for x
    x = 15,115,113,734.81/106,937.57
  6. Step 6: Final answer
    x = 141,345.22

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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.