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Finding the Fourth Proportional to 150,148.42, 225,285.40 and 65,865.08

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Solution

The fourth proportional to 150,148.42, 225,285.40 and 65,865.08 is: 98,825.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,148.42 : 225,285.40 = 65,865.08 : x
  2. Step 2: Convert to fraction form
    150,148.42/225,285.40 = 65,865.08/x
  3. Step 3: Cross multiply
    150,148.42x = 225,285.40 × 65,865.08
  4. Step 4: Simplify right side
    150,148.42x = 14,838,440,893.83
  5. Step 5: Solve for x
    x = 14,838,440,893.83/150,148.42
  6. Step 6: Final answer
    x = 98,825.16

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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.