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Finding the Fourth Proportional to 537,128.84, 805,693.44 and 137,769.57

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Solution

The fourth proportional to 537,128.84, 805,693.44 and 137,769.57 is: 206,654.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,128.84 : 805,693.44 = 137,769.57 : x
  2. Step 2: Convert to fraction form
    537,128.84/805,693.44 = 137,769.57/x
  3. Step 3: Cross multiply
    537,128.84x = 805,693.44 × 137,769.57
  4. Step 4: Simplify right side
    537,128.84x = 111,000,038,780.62
  5. Step 5: Solve for x
    x = 111,000,038,780.62/537,128.84
  6. Step 6: Final answer
    x = 206,654.40

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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.