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Finding the Fourth Proportional to 147,817.68, 221,726.40 and 47,977.86

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Solution

The fourth proportional to 147,817.68, 221,726.40 and 47,977.86 is: 71,966.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,817.68 : 221,726.40 = 47,977.86 : x
  2. Step 2: Convert to fraction form
    147,817.68/221,726.40 = 47,977.86/x
  3. Step 3: Cross multiply
    147,817.68x = 221,726.40 × 47,977.86
  4. Step 4: Simplify right side
    147,817.68x = 10,637,958,177.50
  5. Step 5: Solve for x
    x = 10,637,958,177.50/147,817.68
  6. Step 6: Final answer
    x = 71,966.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.