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Finding the Fourth Proportional to 157,941, 236,952.54 and 47,133

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Solution

The fourth proportional to 157,941, 236,952.54 and 47,133 is: 70,711.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,941 : 236,952.54 = 47,133 : x
  2. Step 2: Convert to fraction form
    157,941/236,952.54 = 47,133/x
  3. Step 3: Cross multiply
    157,941x = 236,952.54 × 47,133
  4. Step 4: Simplify right side
    157,941x = 11,168,284,067.82
  5. Step 5: Solve for x
    x = 11,168,284,067.82/157,941
  6. Step 6: Final answer
    x = 70,711.75

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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.