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Finding the Fourth Proportional to 147,612.81, 221,426.19 and 47,780.82

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Solution

The fourth proportional to 147,612.81, 221,426.19 and 47,780.82 is: 71,673.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,612.81 : 221,426.19 = 47,780.82 : x
  2. Step 2: Convert to fraction form
    147,612.81/221,426.19 = 47,780.82/x
  3. Step 3: Cross multiply
    147,612.81x = 221,426.19 × 47,780.82
  4. Step 4: Simplify right side
    147,612.81x = 10,579,924,927.68
  5. Step 5: Solve for x
    x = 10,579,924,927.68/147,612.81
  6. Step 6: Final answer
    x = 71,673.49

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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.