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Finding the Fourth Proportional to 190,455, 262,828.14 and 105,584.76

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Solution

The fourth proportional to 190,455, 262,828.14 and 105,584.76 is: 145,707.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,455 : 262,828.14 = 105,584.76 : x
  2. Step 2: Convert to fraction form
    190,455/262,828.14 = 105,584.76/x
  3. Step 3: Cross multiply
    190,455x = 262,828.14 × 105,584.76
  4. Step 4: Simplify right side
    190,455x = 27,750,646,083.15
  5. Step 5: Solve for x
    x = 27,750,646,083.15/190,455
  6. Step 6: Final answer
    x = 145,707.10

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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.