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Finding the Fourth Proportional to 223,083.76, 307,848.72 and 121,104.40

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Solution

The fourth proportional to 223,083.76, 307,848.72 and 121,104.40 is: 167,120.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,083.76 : 307,848.72 = 121,104.40 : x
  2. Step 2: Convert to fraction form
    223,083.76/307,848.72 = 121,104.40/x
  3. Step 3: Cross multiply
    223,083.76x = 307,848.72 × 121,104.40
  4. Step 4: Simplify right side
    223,083.76x = 37,281,834,526.37
  5. Step 5: Solve for x
    x = 37,281,834,526.37/223,083.76
  6. Step 6: Final answer
    x = 167,120.34

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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.