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Finding the Fourth Proportional to 213,304.47, 294,334.96 and 117,805.47

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Solution

The fourth proportional to 213,304.47, 294,334.96 and 117,805.47 is: 162,557.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,304.47 : 294,334.96 = 117,805.47 : x
  2. Step 2: Convert to fraction form
    213,304.47/294,334.96 = 117,805.47/x
  3. Step 3: Cross multiply
    213,304.47x = 294,334.96 × 117,805.47
  4. Step 4: Simplify right side
    213,304.47x = 34,674,268,300.23
  5. Step 5: Solve for x
    x = 34,674,268,300.23/213,304.47
  6. Step 6: Final answer
    x = 162,557.63

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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.