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Finding the Fourth Proportional to 180,536.52, 270,848.04 and 55,877.52

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Solution

The fourth proportional to 180,536.52, 270,848.04 and 55,877.52 is: 83,829.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,536.52 : 270,848.04 = 55,877.52 : x
  2. Step 2: Convert to fraction form
    180,536.52/270,848.04 = 55,877.52/x
  3. Step 3: Cross multiply
    180,536.52x = 270,848.04 × 55,877.52
  4. Step 4: Simplify right side
    180,536.52x = 15,134,316,772.06
  5. Step 5: Solve for x
    x = 15,134,316,772.06/180,536.52
  6. Step 6: Final answer
    x = 83,829.67

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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.