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Finding the Fourth Proportional to 103,764.90, 155,647.35 and 77,520.90

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Solution

The fourth proportional to 103,764.90, 155,647.35 and 77,520.90 is: 116,281.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,764.90 : 155,647.35 = 77,520.90 : x
  2. Step 2: Convert to fraction form
    103,764.90/155,647.35 = 77,520.90/x
  3. Step 3: Cross multiply
    103,764.90x = 155,647.35 × 77,520.90
  4. Step 4: Simplify right side
    103,764.90x = 12,065,922,654.62
  5. Step 5: Solve for x
    x = 12,065,922,654.62/103,764.90
  6. Step 6: Final answer
    x = 116,281.35

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1.5x scale

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.