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Finding the Fourth Proportional to 103,698.10, 155,455.95 and 61,474.10

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Solution

The fourth proportional to 103,698.10, 155,455.95 and 61,474.10 is: 92,157.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,698.10 : 155,455.95 = 61,474.10 : x
  2. Step 2: Convert to fraction form
    103,698.10/155,455.95 = 61,474.10/x
  3. Step 3: Cross multiply
    103,698.10x = 155,455.95 × 61,474.10
  4. Step 4: Simplify right side
    103,698.10x = 9,556,514,615.90
  5. Step 5: Solve for x
    x = 9,556,514,615.90/103,698.10
  6. Step 6: Final answer
    x = 92,157.08

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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.