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Finding the Fourth Proportional to 190,276, 262,580.88 and 105,398.53

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Solution

The fourth proportional to 190,276, 262,580.88 and 105,398.53 is: 145,449.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,276 : 262,580.88 = 105,398.53 : x
  2. Step 2: Convert to fraction form
    190,276/262,580.88 = 105,398.53/x
  3. Step 3: Cross multiply
    190,276x = 262,580.88 × 105,398.53
  4. Step 4: Simplify right side
    190,276x = 27,675,638,758.11
  5. Step 5: Solve for x
    x = 27,675,638,758.11/190,276
  6. Step 6: Final answer
    x = 145,449.97

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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.