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Finding the Fourth Proportional to 218,547.59, 327,673.74 and 111,668.90

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Solution

The fourth proportional to 218,547.59, 327,673.74 and 111,668.90 is: 167,427.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,547.59 : 327,673.74 = 111,668.90 : x
  2. Step 2: Convert to fraction form
    218,547.59/327,673.74 = 111,668.90/x
  3. Step 3: Cross multiply
    218,547.59x = 327,673.74 × 111,668.90
  4. Step 4: Simplify right side
    218,547.59x = 36,590,964,466.32
  5. Step 5: Solve for x
    x = 36,590,964,466.32/218,547.59
  6. Step 6: Final answer
    x = 167,427.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.