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Finding the Fourth Proportional to 218,703.60, 301,804.38 and 123,208.20

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Solution

The fourth proportional to 218,703.60, 301,804.38 and 123,208.20 is: 170,023.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,703.60 : 301,804.38 = 123,208.20 : x
  2. Step 2: Convert to fraction form
    218,703.60/301,804.38 = 123,208.20/x
  3. Step 3: Cross multiply
    218,703.60x = 301,804.38 × 123,208.20
  4. Step 4: Simplify right side
    218,703.60x = 37,184,774,411.92
  5. Step 5: Solve for x
    x = 37,184,774,411.92/218,703.60
  6. Step 6: Final answer
    x = 170,023.60

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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.