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Finding the Fourth Proportional to 214,293.60, 295,742.64 and 118,830.24

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Solution

The fourth proportional to 214,293.60, 295,742.64 and 118,830.24 is: 163,995.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,293.60 : 295,742.64 = 118,830.24 : x
  2. Step 2: Convert to fraction form
    214,293.60/295,742.64 = 118,830.24/x
  3. Step 3: Cross multiply
    214,293.60x = 295,742.64 × 118,830.24
  4. Step 4: Simplify right side
    214,293.60x = 35,143,168,889.43
  5. Step 5: Solve for x
    x = 35,143,168,889.43/214,293.60
  6. Step 6: Final answer
    x = 163,995.42

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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.