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Finding the Fourth Proportional to 230,762.60, 346,028.70 and 105,962.60

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Solution

The fourth proportional to 230,762.60, 346,028.70 and 105,962.60 is: 158,891.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,762.60 : 346,028.70 = 105,962.60 : x
  2. Step 2: Convert to fraction form
    230,762.60/346,028.70 = 105,962.60/x
  3. Step 3: Cross multiply
    230,762.60x = 346,028.70 × 105,962.60
  4. Step 4: Simplify right side
    230,762.60x = 36,666,100,726.62
  5. Step 5: Solve for x
    x = 36,666,100,726.62/230,762.60
  6. Step 6: Final answer
    x = 158,891.00

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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.