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Finding the Fourth Proportional to 163,681.92, 224,902.08 and 130,089.60

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Solution

The fourth proportional to 163,681.92, 224,902.08 and 130,089.60 is: 178,745.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,681.92 : 224,902.08 = 130,089.60 : x
  2. Step 2: Convert to fraction form
    163,681.92/224,902.08 = 130,089.60/x
  3. Step 3: Cross multiply
    163,681.92x = 224,902.08 × 130,089.60
  4. Step 4: Simplify right side
    163,681.92x = 29,257,421,626.37
  5. Step 5: Solve for x
    x = 29,257,421,626.37/163,681.92
  6. Step 6: Final answer
    x = 178,745.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.