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Finding the Fourth Proportional to 114,427.10, 171,835.05 and 84,878.30

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Solution

The fourth proportional to 114,427.10, 171,835.05 and 84,878.30 is: 127,461.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,427.10 : 171,835.05 = 84,878.30 : x
  2. Step 2: Convert to fraction form
    114,427.10/171,835.05 = 84,878.30/x
  3. Step 3: Cross multiply
    114,427.10x = 171,835.05 × 84,878.30
  4. Step 4: Simplify right side
    114,427.10x = 14,585,066,924.42
  5. Step 5: Solve for x
    x = 14,585,066,924.42/114,427.10
  6. Step 6: Final answer
    x = 127,461.65

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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.