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Finding the Fourth Proportional to 192,407.84, 265,513.92 and 107,524.16

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Solution

The fourth proportional to 192,407.84, 265,513.92 and 107,524.16 is: 148,378.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,407.84 : 265,513.92 = 107,524.16 : x
  2. Step 2: Convert to fraction form
    192,407.84/265,513.92 = 107,524.16/x
  3. Step 3: Cross multiply
    192,407.84x = 265,513.92 × 107,524.16
  4. Step 4: Simplify right side
    192,407.84x = 28,549,161,216.31
  5. Step 5: Solve for x
    x = 28,549,161,216.31/192,407.84
  6. Step 6: Final answer
    x = 148,378.37

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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.