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Finding the Fourth Proportional to 192,233.48, 265,289.70 and 106,196.90

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Solution

The fourth proportional to 192,233.48, 265,289.70 and 106,196.90 is: 146,555.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,233.48 : 265,289.70 = 106,196.90 : x
  2. Step 2: Convert to fraction form
    192,233.48/265,289.70 = 106,196.90/x
  3. Step 3: Cross multiply
    192,233.48x = 265,289.70 × 106,196.90
  4. Step 4: Simplify right side
    192,233.48x = 28,172,943,741.93
  5. Step 5: Solve for x
    x = 28,172,943,741.93/192,233.48
  6. Step 6: Final answer
    x = 146,555.86

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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.