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Finding the Fourth Proportional to 229,876.89, 317,225.19 and 133,084.83

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Solution

The fourth proportional to 229,876.89, 317,225.19 and 133,084.83 is: 183,654.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,876.89 : 317,225.19 = 133,084.83 : x
  2. Step 2: Convert to fraction form
    229,876.89/317,225.19 = 133,084.83/x
  3. Step 3: Cross multiply
    229,876.89x = 317,225.19 × 133,084.83
  4. Step 4: Simplify right side
    229,876.89x = 42,217,860,482.87
  5. Step 5: Solve for x
    x = 42,217,860,482.87/229,876.89
  6. Step 6: Final answer
    x = 183,654.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.