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Finding the Fourth Proportional to 208,998.60, 313,497.90 and 178,931.40

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Solution

The fourth proportional to 208,998.60, 313,497.90 and 178,931.40 is: 268,397.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,998.60 : 313,497.90 = 178,931.40 : x
  2. Step 2: Convert to fraction form
    208,998.60/313,497.90 = 178,931.40/x
  3. Step 3: Cross multiply
    208,998.60x = 313,497.90 × 178,931.40
  4. Step 4: Simplify right side
    208,998.60x = 56,094,618,144.06
  5. Step 5: Solve for x
    x = 56,094,618,144.06/208,998.60
  6. Step 6: Final answer
    x = 268,397.10

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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.