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Finding the Fourth Proportional to 229,202.51, 343,874.15 and 109,412.32

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Solution

The fourth proportional to 229,202.51, 343,874.15 and 109,412.32 is: 164,152.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,202.51 : 343,874.15 = 109,412.32 : x
  2. Step 2: Convert to fraction form
    229,202.51/343,874.15 = 109,412.32/x
  3. Step 3: Cross multiply
    229,202.51x = 343,874.15 × 109,412.32
  4. Step 4: Simplify right side
    229,202.51x = 37,624,068,539.53
  5. Step 5: Solve for x
    x = 37,624,068,539.53/229,202.51
  6. Step 6: Final answer
    x = 164,152.08

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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.