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Finding the Fourth Proportional to 242,585.60, 363,878.40 and 204,094.40

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Solution

The fourth proportional to 242,585.60, 363,878.40 and 204,094.40 is: 306,141.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,585.60 : 363,878.40 = 204,094.40 : x
  2. Step 2: Convert to fraction form
    242,585.60/363,878.40 = 204,094.40/x
  3. Step 3: Cross multiply
    242,585.60x = 363,878.40 × 204,094.40
  4. Step 4: Simplify right side
    242,585.60x = 74,265,543,720.96
  5. Step 5: Solve for x
    x = 74,265,543,720.96/242,585.60
  6. Step 6: Final answer
    x = 306,141.60

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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.