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Finding the Fourth Proportional to 218,848.18, 328,311.15 and 74,746.15

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Solution

The fourth proportional to 218,848.18, 328,311.15 and 74,746.15 is: 112,132.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,848.18 : 328,311.15 = 74,746.15 : x
  2. Step 2: Convert to fraction form
    218,848.18/328,311.15 = 74,746.15/x
  3. Step 3: Cross multiply
    218,848.18x = 328,311.15 × 74,746.15
  4. Step 4: Simplify right side
    218,848.18x = 24,539,994,464.57
  5. Step 5: Solve for x
    x = 24,539,994,464.57/218,848.18
  6. Step 6: Final answer
    x = 112,132.50

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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.