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Finding the Fourth Proportional to 190,430.16, 262,784.16 and 105,546.48

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Solution

The fourth proportional to 190,430.16, 262,784.16 and 105,546.48 is: 145,648.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,430.16 : 262,784.16 = 105,546.48 : x
  2. Step 2: Convert to fraction form
    190,430.16/262,784.16 = 105,546.48/x
  3. Step 3: Cross multiply
    190,430.16x = 262,784.16 × 105,546.48
  4. Step 4: Simplify right side
    190,430.16x = 27,735,943,087.76
  5. Step 5: Solve for x
    x = 27,735,943,087.76/190,430.16
  6. Step 6: Final answer
    x = 145,648.90

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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.