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Finding the Fourth Proportional to 140,065.72, 210,060.42 and 46,559.32

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Solution

The fourth proportional to 140,065.72, 210,060.42 and 46,559.32 is: 69,826.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,065.72 : 210,060.42 = 46,559.32 : x
  2. Step 2: Convert to fraction form
    140,065.72/210,060.42 = 46,559.32/x
  3. Step 3: Cross multiply
    140,065.72x = 210,060.42 × 46,559.32
  4. Step 4: Simplify right side
    140,065.72x = 9,780,270,314.11
  5. Step 5: Solve for x
    x = 9,780,270,314.11/140,065.72
  6. Step 6: Final answer
    x = 69,826.30

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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.