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Finding the Fourth Proportional to 106,093.80, 159,140.70 and 99,095.40

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Solution

The fourth proportional to 106,093.80, 159,140.70 and 99,095.40 is: 148,643.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,093.80 : 159,140.70 = 99,095.40 : x
  2. Step 2: Convert to fraction form
    106,093.80/159,140.70 = 99,095.40/x
  3. Step 3: Cross multiply
    106,093.80x = 159,140.70 × 99,095.40
  4. Step 4: Simplify right side
    106,093.80x = 15,770,111,322.78
  5. Step 5: Solve for x
    x = 15,770,111,322.78/106,093.80
  6. Step 6: Final answer
    x = 148,643.10

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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.