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Finding the Fourth Proportional to 107,652.34, 148,554.71 and 82,176.53

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Solution

The fourth proportional to 107,652.34, 148,554.71 and 82,176.53 is: 113,399.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,652.34 : 148,554.71 = 82,176.53 : x
  2. Step 2: Convert to fraction form
    107,652.34/148,554.71 = 82,176.53/x
  3. Step 3: Cross multiply
    107,652.34x = 148,554.71 × 82,176.53
  4. Step 4: Simplify right side
    107,652.34x = 12,207,709,737.46
  5. Step 5: Solve for x
    x = 12,207,709,737.46/107,652.34
  6. Step 6: Final answer
    x = 113,399.39

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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.