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Finding the Fourth Proportional to 255,687.89, 383,587.23 and 97,916.36

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Solution

The fourth proportional to 255,687.89, 383,587.23 and 97,916.36 is: 146,895.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,687.89 : 383,587.23 = 97,916.36 : x
  2. Step 2: Convert to fraction form
    255,687.89/383,587.23 = 97,916.36/x
  3. Step 3: Cross multiply
    255,687.89x = 383,587.23 × 97,916.36
  4. Step 4: Simplify right side
    255,687.89x = 37,559,465,304.08
  5. Step 5: Solve for x
    x = 37,559,465,304.08/255,687.89
  6. Step 6: Final answer
    x = 146,895.75

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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.