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Finding the Fourth Proportional to 190,472.16, 262,864.80 and 105,597.12

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Solution

The fourth proportional to 190,472.16, 262,864.80 and 105,597.12 is: 145,731.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,472.16 : 262,864.80 = 105,597.12 : x
  2. Step 2: Convert to fraction form
    190,472.16/262,864.80 = 105,597.12/x
  3. Step 3: Cross multiply
    190,472.16x = 262,864.80 × 105,597.12
  4. Step 4: Simplify right side
    190,472.16x = 27,757,765,829.38
  5. Step 5: Solve for x
    x = 27,757,765,829.38/190,472.16
  6. Step 6: Final answer
    x = 145,731.35

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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.