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Finding the Fourth Proportional to 271,278.20, 407,111.70 and 152,823.80

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Solution

The fourth proportional to 271,278.20, 407,111.70 and 152,823.80 is: 229,345.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,278.20 : 407,111.70 = 152,823.80 : x
  2. Step 2: Convert to fraction form
    271,278.20/407,111.70 = 152,823.80/x
  3. Step 3: Cross multiply
    271,278.20x = 407,111.70 × 152,823.80
  4. Step 4: Simplify right side
    271,278.20x = 62,216,357,018.46
  5. Step 5: Solve for x
    x = 62,216,357,018.46/271,278.20
  6. Step 6: Final answer
    x = 229,345.21

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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.