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Finding the Fourth Proportional to 162,824.80, 244,237.20 and 146,495.20

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Solution

The fourth proportional to 162,824.80, 244,237.20 and 146,495.20 is: 219,742.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,824.80 : 244,237.20 = 146,495.20 : x
  2. Step 2: Convert to fraction form
    162,824.80/244,237.20 = 146,495.20/x
  3. Step 3: Cross multiply
    162,824.80x = 244,237.20 × 146,495.20
  4. Step 4: Simplify right side
    162,824.80x = 35,779,577,461.44
  5. Step 5: Solve for x
    x = 35,779,577,461.44/162,824.80
  6. Step 6: Final answer
    x = 219,742.80

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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.