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Finding the Fourth Proportional to 243,084.65, 364,580.80 and 102,941.69

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Solution

The fourth proportional to 243,084.65, 364,580.80 and 102,941.69 is: 154,392.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,084.65 : 364,580.80 = 102,941.69 : x
  2. Step 2: Convert to fraction form
    243,084.65/364,580.80 = 102,941.69/x
  3. Step 3: Cross multiply
    243,084.65x = 364,580.80 × 102,941.69
  4. Step 4: Simplify right side
    243,084.65x = 37,530,563,693.55
  5. Step 5: Solve for x
    x = 37,530,563,693.55/243,084.65
  6. Step 6: Final answer
    x = 154,392.98

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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.