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Finding the Fourth Proportional to 255,687.64, 383,586.80 and 97,916.10

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Solution

The fourth proportional to 255,687.64, 383,586.80 and 97,916.10 is: 146,895.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,687.64 : 383,586.80 = 97,916.10 : x
  2. Step 2: Convert to fraction form
    255,687.64/383,586.80 = 97,916.10/x
  3. Step 3: Cross multiply
    255,687.64x = 383,586.80 × 97,916.10
  4. Step 4: Simplify right side
    255,687.64x = 37,559,323,467.48
  5. Step 5: Solve for x
    x = 37,559,323,467.48/255,687.64
  6. Step 6: Final answer
    x = 146,895.34

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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.