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Finding the Fourth Proportional to 272,916.40, 409,228.80 and 114,966.40

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Solution

The fourth proportional to 272,916.40, 409,228.80 and 114,966.40 is: 172,388.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,916.40 : 409,228.80 = 114,966.40 : x
  2. Step 2: Convert to fraction form
    272,916.40/409,228.80 = 114,966.40/x
  3. Step 3: Cross multiply
    272,916.40x = 409,228.80 × 114,966.40
  4. Step 4: Simplify right side
    272,916.40x = 47,047,561,912.32
  5. Step 5: Solve for x
    x = 47,047,561,912.32/272,916.40
  6. Step 6: Final answer
    x = 172,388.18

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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.