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Finding the Fourth Proportional to 140,030.34, 209,977.29 and 46,504.50

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Solution

The fourth proportional to 140,030.34, 209,977.29 and 46,504.50 is: 69,734.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,030.34 : 209,977.29 = 46,504.50 : x
  2. Step 2: Convert to fraction form
    140,030.34/209,977.29 = 46,504.50/x
  3. Step 3: Cross multiply
    140,030.34x = 209,977.29 × 46,504.50
  4. Step 4: Simplify right side
    140,030.34x = 9,764,888,882.81
  5. Step 5: Solve for x
    x = 9,764,888,882.81/140,030.34
  6. Step 6: Final answer
    x = 69,734.09

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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.