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Finding the Fourth Proportional to 213,095.81, 294,076.32 and 117,600.46

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Solution

The fourth proportional to 213,095.81, 294,076.32 and 117,600.46 is: 162,290.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,095.81 : 294,076.32 = 117,600.46 : x
  2. Step 2: Convert to fraction form
    213,095.81/294,076.32 = 117,600.46/x
  3. Step 3: Cross multiply
    213,095.81x = 294,076.32 × 117,600.46
  4. Step 4: Simplify right side
    213,095.81x = 34,583,509,992.42
  5. Step 5: Solve for x
    x = 34,583,509,992.42/213,095.81
  6. Step 6: Final answer
    x = 162,290.89

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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.