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Finding the Fourth Proportional to 201,641.04, 278,281.80 and 111,014.64

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Solution

The fourth proportional to 201,641.04, 278,281.80 and 111,014.64 is: 153,209.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,641.04 : 278,281.80 = 111,014.64 : x
  2. Step 2: Convert to fraction form
    201,641.04/278,281.80 = 111,014.64/x
  3. Step 3: Cross multiply
    201,641.04x = 278,281.80 × 111,014.64
  4. Step 4: Simplify right side
    201,641.04x = 30,893,353,845.55
  5. Step 5: Solve for x
    x = 30,893,353,845.55/201,641.04
  6. Step 6: Final answer
    x = 153,209.65

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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.