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Finding the Fourth Proportional to 140,477.76, 210,745.44 and 46,984.32

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Solution

The fourth proportional to 140,477.76, 210,745.44 and 46,984.32 is: 70,486.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,477.76 : 210,745.44 = 46,984.32 : x
  2. Step 2: Convert to fraction form
    140,477.76/210,745.44 = 46,984.32/x
  3. Step 3: Cross multiply
    140,477.76x = 210,745.44 × 46,984.32
  4. Step 4: Simplify right side
    140,477.76x = 9,901,731,191.50
  5. Step 5: Solve for x
    x = 9,901,731,191.50/140,477.76
  6. Step 6: Final answer
    x = 70,486.11

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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.