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Finding the Fourth Proportional to 149,619.42, 224,239.89 and 65,357.34

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Solution

The fourth proportional to 149,619.42, 224,239.89 and 65,357.34 is: 97,953.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,619.42 : 224,239.89 = 65,357.34 : x
  2. Step 2: Convert to fraction form
    149,619.42/224,239.89 = 65,357.34/x
  3. Step 3: Cross multiply
    149,619.42x = 224,239.89 × 65,357.34
  4. Step 4: Simplify right side
    149,619.42x = 14,655,722,732.29
  5. Step 5: Solve for x
    x = 14,655,722,732.29/149,619.42
  6. Step 6: Final answer
    x = 97,953.35

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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.