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Finding the Fourth Proportional to 157,734, 236,602.62 and 46,926

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Solution

The fourth proportional to 157,734, 236,602.62 and 46,926 is: 70,389.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,734 : 236,602.62 = 46,926 : x
  2. Step 2: Convert to fraction form
    157,734/236,602.62 = 46,926/x
  3. Step 3: Cross multiply
    157,734x = 236,602.62 × 46,926
  4. Step 4: Simplify right side
    157,734x = 11,102,814,546.12
  5. Step 5: Solve for x
    x = 11,102,814,546.12/157,734
  6. Step 6: Final answer
    x = 70,389.48

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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.