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Finding the Fourth Proportional to 186,097, 256,704.42 and 110,641

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Solution

The fourth proportional to 186,097, 256,704.42 and 110,641 is: 152,619.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,097 : 256,704.42 = 110,641 : x
  2. Step 2: Convert to fraction form
    186,097/256,704.42 = 110,641/x
  3. Step 3: Cross multiply
    186,097x = 256,704.42 × 110,641
  4. Step 4: Simplify right side
    186,097x = 28,402,033,733.22
  5. Step 5: Solve for x
    x = 28,402,033,733.22/186,097
  6. Step 6: Final answer
    x = 152,619.51

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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.