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Finding the Fourth Proportional to 149,461.32, 224,133.66 and 65,247.24

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Solution

The fourth proportional to 149,461.32, 224,133.66 and 65,247.24 is: 97,845.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,461.32 : 224,133.66 = 65,247.24 : x
  2. Step 2: Convert to fraction form
    149,461.32/224,133.66 = 65,247.24/x
  3. Step 3: Cross multiply
    149,461.32x = 224,133.66 × 65,247.24
  4. Step 4: Simplify right side
    149,461.32x = 14,624,102,706.10
  5. Step 5: Solve for x
    x = 14,624,102,706.10/149,461.32
  6. Step 6: Final answer
    x = 97,845.40

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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.