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Finding the Fourth Proportional to 152,048.10, 227,744.10 and 125,804.10

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Solution

The fourth proportional to 152,048.10, 227,744.10 and 125,804.10 is: 188,434.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,048.10 : 227,744.10 = 125,804.10 : x
  2. Step 2: Convert to fraction form
    152,048.10/227,744.10 = 125,804.10/x
  3. Step 3: Cross multiply
    152,048.10x = 227,744.10 × 125,804.10
  4. Step 4: Simplify right side
    152,048.10x = 28,651,141,530.81
  5. Step 5: Solve for x
    x = 28,651,141,530.81/152,048.10
  6. Step 6: Final answer
    x = 188,434.72

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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.