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Finding the Fourth Proportional to 215,877.60, 323,816.40 and 122,565.60

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Solution

The fourth proportional to 215,877.60, 323,816.40 and 122,565.60 is: 183,848.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,877.60 : 323,816.40 = 122,565.60 : x
  2. Step 2: Convert to fraction form
    215,877.60/323,816.40 = 122,565.60/x
  3. Step 3: Cross multiply
    215,877.60x = 323,816.40 × 122,565.60
  4. Step 4: Simplify right side
    215,877.60x = 39,688,751,355.84
  5. Step 5: Solve for x
    x = 39,688,751,355.84/215,877.60
  6. Step 6: Final answer
    x = 183,848.40

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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.