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Finding the Fourth Proportional to 190,574, 262,992.16 and 105,708.72

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Solution

The fourth proportional to 190,574, 262,992.16 and 105,708.72 is: 145,878.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,574 : 262,992.16 = 105,708.72 : x
  2. Step 2: Convert to fraction form
    190,574/262,992.16 = 105,708.72/x
  3. Step 3: Cross multiply
    190,574x = 262,992.16 × 105,708.72
  4. Step 4: Simplify right side
    190,574x = 27,800,564,603.64
  5. Step 5: Solve for x
    x = 27,800,564,603.64/190,574
  6. Step 6: Final answer
    x = 145,878.06

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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.