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Finding the Fourth Proportional to 214,189.85, 295,583.71 and 118,698.13

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Solution

The fourth proportional to 214,189.85, 295,583.71 and 118,698.13 is: 163,804.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,189.85 : 295,583.71 = 118,698.13 : x
  2. Step 2: Convert to fraction form
    214,189.85/295,583.71 = 118,698.13/x
  3. Step 3: Cross multiply
    214,189.85x = 295,583.71 × 118,698.13
  4. Step 4: Simplify right side
    214,189.85x = 35,085,233,041.97
  5. Step 5: Solve for x
    x = 35,085,233,041.97/214,189.85
  6. Step 6: Final answer
    x = 163,804.37

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1.5x scale

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.