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Finding the Fourth Proportional to 117,091, 175,636.50 and 43,219

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Solution

The fourth proportional to 117,091, 175,636.50 and 43,219 is: 64,828.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,091 : 175,636.50 = 43,219 : x
  2. Step 2: Convert to fraction form
    117,091/175,636.50 = 43,219/x
  3. Step 3: Cross multiply
    117,091x = 175,636.50 × 43,219
  4. Step 4: Simplify right side
    117,091x = 7,590,833,893.50
  5. Step 5: Solve for x
    x = 7,590,833,893.50/117,091
  6. Step 6: Final answer
    x = 64,828.50

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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.