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Finding the Fourth Proportional to 214,109.80, 295,473.90 and 118,618

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Solution

The fourth proportional to 214,109.80, 295,473.90 and 118,618 is: 163,694.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,109.80 : 295,473.90 = 118,618 : x
  2. Step 2: Convert to fraction form
    214,109.80/295,473.90 = 118,618/x
  3. Step 3: Cross multiply
    214,109.80x = 295,473.90 × 118,618
  4. Step 4: Simplify right side
    214,109.80x = 35,048,523,070.20
  5. Step 5: Solve for x
    x = 35,048,523,070.20/214,109.80
  6. Step 6: Final answer
    x = 163,694.16

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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.