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Finding the Fourth Proportional to 157,441, 236,161.50 and 40,705

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Solution

The fourth proportional to 157,441, 236,161.50 and 40,705 is: 61,057.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,441 : 236,161.50 = 40,705 : x
  2. Step 2: Convert to fraction form
    157,441/236,161.50 = 40,705/x
  3. Step 3: Cross multiply
    157,441x = 236,161.50 × 40,705
  4. Step 4: Simplify right side
    157,441x = 9,612,953,857.50
  5. Step 5: Solve for x
    x = 9,612,953,857.50/157,441
  6. Step 6: Final answer
    x = 61,057.50

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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.