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Finding the Fourth Proportional to 232,741.60, 349,112.40 and 144,168.10

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Solution

The fourth proportional to 232,741.60, 349,112.40 and 144,168.10 is: 216,252.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,741.60 : 349,112.40 = 144,168.10 : x
  2. Step 2: Convert to fraction form
    232,741.60/349,112.40 = 144,168.10/x
  3. Step 3: Cross multiply
    232,741.60x = 349,112.40 × 144,168.10
  4. Step 4: Simplify right side
    232,741.60x = 50,330,871,394.44
  5. Step 5: Solve for x
    x = 50,330,871,394.44/232,741.60
  6. Step 6: Final answer
    x = 216,252.15

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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.