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Finding the Fourth Proportional to 162,801.30, 243,873.90 and 109,657.20

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Solution

The fourth proportional to 162,801.30, 243,873.90 and 109,657.20 is: 164,264.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,801.30 : 243,873.90 = 109,657.20 : x
  2. Step 2: Convert to fraction form
    162,801.30/243,873.90 = 109,657.20/x
  3. Step 3: Cross multiply
    162,801.30x = 243,873.90 × 109,657.20
  4. Step 4: Simplify right side
    162,801.30x = 26,742,529,027.08
  5. Step 5: Solve for x
    x = 26,742,529,027.08/162,801.30
  6. Step 6: Final answer
    x = 164,264.84

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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.