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Finding the Fourth Proportional to 114,684.69, 172,083.41 and 51,549.40

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Solution

The fourth proportional to 114,684.69, 172,083.41 and 51,549.40 is: 77,349.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,684.69 : 172,083.41 = 51,549.40 : x
  2. Step 2: Convert to fraction form
    114,684.69/172,083.41 = 51,549.40/x
  3. Step 3: Cross multiply
    114,684.69x = 172,083.41 × 51,549.40
  4. Step 4: Simplify right side
    114,684.69x = 8,870,796,535.45
  5. Step 5: Solve for x
    x = 8,870,796,535.45/114,684.69
  6. Step 6: Final answer
    x = 77,349.44

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1.5x scale

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.