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Finding the Fourth Proportional to 192,557.76, 265,733.28 and 107,684.16

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Solution

The fourth proportional to 192,557.76, 265,733.28 and 107,684.16 is: 148,606.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,557.76 : 265,733.28 = 107,684.16 : x
  2. Step 2: Convert to fraction form
    192,557.76/265,733.28 = 107,684.16/x
  3. Step 3: Cross multiply
    192,557.76x = 265,733.28 × 107,684.16
  4. Step 4: Simplify right side
    192,557.76x = 28,615,265,040.84
  5. Step 5: Solve for x
    x = 28,615,265,040.84/192,557.76
  6. Step 6: Final answer
    x = 148,606.14

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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.