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Finding the Fourth Proportional to 160,417.65, 240,524.37 and 76,125.81

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Solution

The fourth proportional to 160,417.65, 240,524.37 and 76,125.81 is: 114,140.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,417.65 : 240,524.37 = 76,125.81 : x
  2. Step 2: Convert to fraction form
    160,417.65/240,524.37 = 76,125.81/x
  3. Step 3: Cross multiply
    160,417.65x = 240,524.37 × 76,125.81
  4. Step 4: Simplify right side
    160,417.65x = 18,310,112,490.99
  5. Step 5: Solve for x
    x = 18,310,112,490.99/160,417.65
  6. Step 6: Final answer
    x = 114,140.26

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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.