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Finding the Fourth Proportional to 251,017.75, 346,406.93 and 137,842.93

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Solution

The fourth proportional to 251,017.75, 346,406.93 and 137,842.93 is: 190,224.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,017.75 : 346,406.93 = 137,842.93 : x
  2. Step 2: Convert to fraction form
    251,017.75/346,406.93 = 137,842.93/x
  3. Step 3: Cross multiply
    251,017.75x = 346,406.93 × 137,842.93
  4. Step 4: Simplify right side
    251,017.75x = 47,749,746,203.50
  5. Step 5: Solve for x
    x = 47,749,746,203.50/251,017.75
  6. Step 6: Final answer
    x = 190,224.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.