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Finding the Fourth Proportional to 121,410.70, 182,029.65 and 46,501.90

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Solution

The fourth proportional to 121,410.70, 182,029.65 and 46,501.90 is: 69,719.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,410.70 : 182,029.65 = 46,501.90 : x
  2. Step 2: Convert to fraction form
    121,410.70/182,029.65 = 46,501.90/x
  3. Step 3: Cross multiply
    121,410.70x = 182,029.65 × 46,501.90
  4. Step 4: Simplify right side
    121,410.70x = 8,464,724,581.34
  5. Step 5: Solve for x
    x = 8,464,724,581.34/121,410.70
  6. Step 6: Final answer
    x = 69,719.76

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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.