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Finding the Fourth Proportional to 145,847.64, 218,776.14 and 46,008.76

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Solution

The fourth proportional to 145,847.64, 218,776.14 and 46,008.76 is: 69,014.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,847.64 : 218,776.14 = 46,008.76 : x
  2. Step 2: Convert to fraction form
    145,847.64/218,776.14 = 46,008.76/x
  3. Step 3: Cross multiply
    145,847.64x = 218,776.14 × 46,008.76
  4. Step 4: Simplify right side
    145,847.64x = 10,065,618,918.99
  5. Step 5: Solve for x
    x = 10,065,618,918.99/145,847.64
  6. Step 6: Final answer
    x = 69,014.62

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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.