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Finding the Fourth Proportional to 192,460.16, 265,596 and 107,575.40

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Solution

The fourth proportional to 192,460.16, 265,596 and 107,575.40 is: 148,454.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,460.16 : 265,596 = 107,575.40 : x
  2. Step 2: Convert to fraction form
    192,460.16/265,596 = 107,575.40/x
  3. Step 3: Cross multiply
    192,460.16x = 265,596 × 107,575.40
  4. Step 4: Simplify right side
    192,460.16x = 28,571,595,938.40
  5. Step 5: Solve for x
    x = 28,571,595,938.40/192,460.16
  6. Step 6: Final answer
    x = 148,454.60

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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.