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Finding the Fourth Proportional to 182,534.40, 273,842.40 and 64,209.60

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Solution

The fourth proportional to 182,534.40, 273,842.40 and 64,209.60 is: 96,328.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,534.40 : 273,842.40 = 64,209.60 : x
  2. Step 2: Convert to fraction form
    182,534.40/273,842.40 = 64,209.60/x
  3. Step 3: Cross multiply
    182,534.40x = 273,842.40 × 64,209.60
  4. Step 4: Simplify right side
    182,534.40x = 17,583,310,967.04
  5. Step 5: Solve for x
    x = 17,583,310,967.04/182,534.40
  6. Step 6: Final answer
    x = 96,328.75

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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.