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Finding the Fourth Proportional to 124,670.34, 186,978.78 and 35,907.30

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Solution

The fourth proportional to 124,670.34, 186,978.78 and 35,907.30 is: 53,853.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,670.34 : 186,978.78 = 35,907.30 : x
  2. Step 2: Convert to fraction form
    124,670.34/186,978.78 = 35,907.30/x
  3. Step 3: Cross multiply
    124,670.34x = 186,978.78 × 35,907.30
  4. Step 4: Simplify right side
    124,670.34x = 6,713,903,147.09
  5. Step 5: Solve for x
    x = 6,713,903,147.09/124,670.34
  6. Step 6: Final answer
    x = 53,853.25

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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.