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Finding the Fourth Proportional to 146,813.66, 220,217.50 and 46,973.84

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Solution

The fourth proportional to 146,813.66, 220,217.50 and 46,973.84 is: 70,459.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,813.66 : 220,217.50 = 46,973.84 : x
  2. Step 2: Convert to fraction form
    146,813.66/220,217.50 = 46,973.84/x
  3. Step 3: Cross multiply
    146,813.66x = 220,217.50 × 46,973.84
  4. Step 4: Simplify right side
    146,813.66x = 10,344,461,610.20
  5. Step 5: Solve for x
    x = 10,344,461,610.20/146,813.66
  6. Step 6: Final answer
    x = 70,459.80

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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.