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Finding the Fourth Proportional to 140,806.96, 211,188.40 and 46,036.40

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Solution

The fourth proportional to 140,806.96, 211,188.40 and 46,036.40 is: 69,047.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,806.96 : 211,188.40 = 46,036.40 : x
  2. Step 2: Convert to fraction form
    140,806.96/211,188.40 = 46,036.40/x
  3. Step 3: Cross multiply
    140,806.96x = 211,188.40 × 46,036.40
  4. Step 4: Simplify right side
    140,806.96x = 9,722,353,657.76
  5. Step 5: Solve for x
    x = 9,722,353,657.76/140,806.96
  6. Step 6: Final answer
    x = 69,047.39

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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.