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Finding the Fourth Proportional to 157,964, 236,983.44 and 47,158.88

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Solution

The fourth proportional to 157,964, 236,983.44 and 47,158.88 is: 70,749.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,964 : 236,983.44 = 47,158.88 : x
  2. Step 2: Convert to fraction form
    157,964/236,983.44 = 47,158.88/x
  3. Step 3: Cross multiply
    157,964x = 236,983.44 × 47,158.88
  4. Step 4: Simplify right side
    157,964x = 11,175,873,608.95
  5. Step 5: Solve for x
    x = 11,175,873,608.95/157,964
  6. Step 6: Final answer
    x = 70,749.50

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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.