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Finding the Fourth Proportional to 120,563, 180,844.50 and 46,691

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Solution

The fourth proportional to 120,563, 180,844.50 and 46,691 is: 70,036.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,563 : 180,844.50 = 46,691 : x
  2. Step 2: Convert to fraction form
    120,563/180,844.50 = 46,691/x
  3. Step 3: Cross multiply
    120,563x = 180,844.50 × 46,691
  4. Step 4: Simplify right side
    120,563x = 8,443,810,549.50
  5. Step 5: Solve for x
    x = 8,443,810,549.50/120,563
  6. Step 6: Final answer
    x = 70,036.50

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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.