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Finding the Fourth Proportional to 311,564.16, 467,159.06 and 121,798.51

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Solution

The fourth proportional to 311,564.16, 467,159.06 and 121,798.51 is: 182,624.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,564.16 : 467,159.06 = 121,798.51 : x
  2. Step 2: Convert to fraction form
    311,564.16/467,159.06 = 121,798.51/x
  3. Step 3: Cross multiply
    311,564.16x = 467,159.06 × 121,798.51
  4. Step 4: Simplify right side
    311,564.16x = 56,899,277,441.00
  5. Step 5: Solve for x
    x = 56,899,277,441.00/311,564.16
  6. Step 6: Final answer
    x = 182,624.59

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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.