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Finding the Fourth Proportional to 223,071.52, 307,828.20 and 121,094.68

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Solution

The fourth proportional to 223,071.52, 307,828.20 and 121,094.68 is: 167,104.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,071.52 : 307,828.20 = 121,094.68 : x
  2. Step 2: Convert to fraction form
    223,071.52/307,828.20 = 121,094.68/x
  3. Step 3: Cross multiply
    223,071.52x = 307,828.20 × 121,094.68
  4. Step 4: Simplify right side
    223,071.52x = 37,276,357,373.98
  5. Step 5: Solve for x
    x = 37,276,357,373.98/223,071.52
  6. Step 6: Final answer
    x = 167,104.96

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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.