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Finding the Fourth Proportional to 97,514.10, 136,913.40 and 97,514.10

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Solution

The fourth proportional to 97,514.10, 136,913.40 and 97,514.10 is: 136,913.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,514.10 : 136,913.40 = 97,514.10 : x
  2. Step 2: Convert to fraction form
    97,514.10/136,913.40 = 97,514.10/x
  3. Step 3: Cross multiply
    97,514.10x = 136,913.40 × 97,514.10
  4. Step 4: Simplify right side
    97,514.10x = 13,350,986,978.94
  5. Step 5: Solve for x
    x = 13,350,986,978.94/97,514.10
  6. Step 6: Final answer
    x = 136,913.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.