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Finding the Fourth Proportional to 114,384.96, 157,813.38 and 69,045.75

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Solution

The fourth proportional to 114,384.96, 157,813.38 and 69,045.75 is: 95,260.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,384.96 : 157,813.38 = 69,045.75 : x
  2. Step 2: Convert to fraction form
    114,384.96/157,813.38 = 69,045.75/x
  3. Step 3: Cross multiply
    114,384.96x = 157,813.38 × 69,045.75
  4. Step 4: Simplify right side
    114,384.96x = 10,896,343,182.14
  5. Step 5: Solve for x
    x = 10,896,343,182.14/114,384.96
  6. Step 6: Final answer
    x = 95,260.28

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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.