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Finding the Fourth Proportional to 230,881.40, 346,322.10 and 125,905.40

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Solution

The fourth proportional to 230,881.40, 346,322.10 and 125,905.40 is: 188,858.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,881.40 : 346,322.10 = 125,905.40 : x
  2. Step 2: Convert to fraction form
    230,881.40/346,322.10 = 125,905.40/x
  3. Step 3: Cross multiply
    230,881.40x = 346,322.10 × 125,905.40
  4. Step 4: Simplify right side
    230,881.40x = 43,603,822,529.34
  5. Step 5: Solve for x
    x = 43,603,822,529.34/230,881.40
  6. Step 6: Final answer
    x = 188,858.10

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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.