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Finding the Fourth Proportional to 230,859.40, 346,289.10 and 185,758.60

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Solution

The fourth proportional to 230,859.40, 346,289.10 and 185,758.60 is: 278,637.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,859.40 : 346,289.10 = 185,758.60 : x
  2. Step 2: Convert to fraction form
    230,859.40/346,289.10 = 185,758.60/x
  3. Step 3: Cross multiply
    230,859.40x = 346,289.10 × 185,758.60
  4. Step 4: Simplify right side
    230,859.40x = 64,326,178,411.26
  5. Step 5: Solve for x
    x = 64,326,178,411.26/230,859.40
  6. Step 6: Final answer
    x = 278,637.90

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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.