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Finding the Fourth Proportional to 157,216.41, 235,853.34 and 72,964.97

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Solution

The fourth proportional to 157,216.41, 235,853.34 and 72,964.97 is: 109,460.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,216.41 : 235,853.34 = 72,964.97 : x
  2. Step 2: Convert to fraction form
    157,216.41/235,853.34 = 72,964.97/x
  3. Step 3: Cross multiply
    157,216.41x = 235,853.34 × 72,964.97
  4. Step 4: Simplify right side
    157,216.41x = 17,209,032,193.51
  5. Step 5: Solve for x
    x = 17,209,032,193.51/157,216.41
  6. Step 6: Final answer
    x = 109,460.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.