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Finding the Fourth Proportional to 230,829.60, 346,503.60 and 125,594.40

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Solution

The fourth proportional to 230,829.60, 346,503.60 and 125,594.40 is: 188,532.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,829.60 : 346,503.60 = 125,594.40 : x
  2. Step 2: Convert to fraction form
    230,829.60/346,503.60 = 125,594.40/x
  3. Step 3: Cross multiply
    230,829.60x = 346,503.60 × 125,594.40
  4. Step 4: Simplify right side
    230,829.60x = 43,518,911,739.84
  5. Step 5: Solve for x
    x = 43,518,911,739.84/230,829.60
  6. Step 6: Final answer
    x = 188,532.63

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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.