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Finding the Fourth Proportional to 192,604, 265,830.24 and 129,052.64

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Solution

The fourth proportional to 192,604, 265,830.24 and 129,052.64 is: 178,117.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,604 : 265,830.24 = 129,052.64 : x
  2. Step 2: Convert to fraction form
    192,604/265,830.24 = 129,052.64/x
  3. Step 3: Cross multiply
    192,604x = 265,830.24 × 129,052.64
  4. Step 4: Simplify right side
    192,604x = 34,306,094,263.83
  5. Step 5: Solve for x
    x = 34,306,094,263.83/192,604
  6. Step 6: Final answer
    x = 178,117.25

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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.