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Finding the Fourth Proportional to 162,509.60, 243,289.20 and 115,853.60

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Solution

The fourth proportional to 162,509.60, 243,289.20 and 115,853.60 is: 173,441.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,509.60 : 243,289.20 = 115,853.60 : x
  2. Step 2: Convert to fraction form
    162,509.60/243,289.20 = 115,853.60/x
  3. Step 3: Cross multiply
    162,509.60x = 243,289.20 × 115,853.60
  4. Step 4: Simplify right side
    162,509.60x = 28,185,929,661.12
  5. Step 5: Solve for x
    x = 28,185,929,661.12/162,509.60
  6. Step 6: Final answer
    x = 173,441.63

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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.