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Finding the Fourth Proportional to 201,518.50, 278,097.15 and 112,094.50

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Solution

The fourth proportional to 201,518.50, 278,097.15 and 112,094.50 is: 154,691.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,518.50 : 278,097.15 = 112,094.50 : x
  2. Step 2: Convert to fraction form
    201,518.50/278,097.15 = 112,094.50/x
  3. Step 3: Cross multiply
    201,518.50x = 278,097.15 × 112,094.50
  4. Step 4: Simplify right side
    201,518.50x = 31,173,160,980.68
  5. Step 5: Solve for x
    x = 31,173,160,980.68/201,518.50
  6. Step 6: Final answer
    x = 154,691.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.