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Finding the Fourth Proportional to 218,856.10, 302,003.32 and 123,386.26

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Solution

The fourth proportional to 218,856.10, 302,003.32 and 123,386.26 is: 170,262.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,856.10 : 302,003.32 = 123,386.26 : x
  2. Step 2: Convert to fraction form
    218,856.10/302,003.32 = 123,386.26/x
  3. Step 3: Cross multiply
    218,856.10x = 302,003.32 × 123,386.26
  4. Step 4: Simplify right side
    218,856.10x = 37,263,060,162.38
  5. Step 5: Solve for x
    x = 37,263,060,162.38/218,856.10
  6. Step 6: Final answer
    x = 170,262.84

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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.