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Finding the Fourth Proportional to 152,509.58, 210,470.97 and 87,954.81

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Solution

The fourth proportional to 152,509.58, 210,470.97 and 87,954.81 is: 121,382.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,509.58 : 210,470.97 = 87,954.81 : x
  2. Step 2: Convert to fraction form
    152,509.58/210,470.97 = 87,954.81/x
  3. Step 3: Cross multiply
    152,509.58x = 210,470.97 × 87,954.81
  4. Step 4: Simplify right side
    152,509.58x = 18,511,934,176.87
  5. Step 5: Solve for x
    x = 18,511,934,176.87/152,509.58
  6. Step 6: Final answer
    x = 121,382.11

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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.