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Finding the Fourth Proportional to 223,047.82, 307,797.70 and 121,071.10

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Solution

The fourth proportional to 223,047.82, 307,797.70 and 121,071.10 is: 167,073.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,047.82 : 307,797.70 = 121,071.10 : x
  2. Step 2: Convert to fraction form
    223,047.82/307,797.70 = 121,071.10/x
  3. Step 3: Cross multiply
    223,047.82x = 307,797.70 × 121,071.10
  4. Step 4: Simplify right side
    223,047.82x = 37,265,406,116.47
  5. Step 5: Solve for x
    x = 37,265,406,116.47/223,047.82
  6. Step 6: Final answer
    x = 167,073.62

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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.