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Finding the Fourth Proportional to 149,846.60, 224,113.80 and 114,417.20

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Solution

The fourth proportional to 149,846.60, 224,113.80 and 114,417.20 is: 171,124.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,846.60 : 224,113.80 = 114,417.20 : x
  2. Step 2: Convert to fraction form
    149,846.60/224,113.80 = 114,417.20/x
  3. Step 3: Cross multiply
    149,846.60x = 224,113.80 × 114,417.20
  4. Step 4: Simplify right side
    149,846.60x = 25,642,473,477.36
  5. Step 5: Solve for x
    x = 25,642,473,477.36/149,846.60
  6. Step 6: Final answer
    x = 171,124.83

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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.