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Finding the Fourth Proportional to 123,971.60, 185,752.60 and 105,539.60

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Solution

The fourth proportional to 123,971.60, 185,752.60 and 105,539.60 is: 158,135.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,971.60 : 185,752.60 = 105,539.60 : x
  2. Step 2: Convert to fraction form
    123,971.60/185,752.60 = 105,539.60/x
  3. Step 3: Cross multiply
    123,971.60x = 185,752.60 × 105,539.60
  4. Step 4: Simplify right side
    123,971.60x = 19,604,255,102.96
  5. Step 5: Solve for x
    x = 19,604,255,102.96/123,971.60
  6. Step 6: Final answer
    x = 158,135.05

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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.