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Finding the Fourth Proportional to 129,196.62, 193,773 and 35,702.64

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Solution

The fourth proportional to 129,196.62, 193,773 and 35,702.64 is: 53,547.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,196.62 : 193,773 = 35,702.64 : x
  2. Step 2: Convert to fraction form
    129,196.62/193,773 = 35,702.64/x
  3. Step 3: Cross multiply
    129,196.62x = 193,773 × 35,702.64
  4. Step 4: Simplify right side
    129,196.62x = 6,918,207,660.72
  5. Step 5: Solve for x
    x = 6,918,207,660.72/129,196.62
  6. Step 6: Final answer
    x = 53,547.90

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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.