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Finding the Fourth Proportional to 233,761.60, 322,590.24 and 133,176.64

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Solution

The fourth proportional to 233,761.60, 322,590.24 and 133,176.64 is: 183,783.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,761.60 : 322,590.24 = 133,176.64 : x
  2. Step 2: Convert to fraction form
    233,761.60/322,590.24 = 133,176.64/x
  3. Step 3: Cross multiply
    233,761.60x = 322,590.24 × 133,176.64
  4. Step 4: Simplify right side
    233,761.60x = 42,961,484,259.99
  5. Step 5: Solve for x
    x = 42,961,484,259.99/233,761.60
  6. Step 6: Final answer
    x = 183,783.33

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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.