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Finding the Fourth Proportional to 153,216.29, 229,824.47 and 40,896.93

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Solution

The fourth proportional to 153,216.29, 229,824.47 and 40,896.93 is: 61,345.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,216.29 : 229,824.47 = 40,896.93 : x
  2. Step 2: Convert to fraction form
    153,216.29/229,824.47 = 40,896.93/x
  3. Step 3: Cross multiply
    153,216.29x = 229,824.47 × 40,896.93
  4. Step 4: Simplify right side
    153,216.29x = 9,399,115,057.39
  5. Step 5: Solve for x
    x = 9,399,115,057.39/153,216.29
  6. Step 6: Final answer
    x = 61,345.41

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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.