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Finding the Fourth Proportional to 264,762.42, 365,374.59 and 143,904

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Solution

The fourth proportional to 264,762.42, 365,374.59 and 143,904 is: 198,588.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,762.42 : 365,374.59 = 143,904 : x
  2. Step 2: Convert to fraction form
    264,762.42/365,374.59 = 143,904/x
  3. Step 3: Cross multiply
    264,762.42x = 365,374.59 × 143,904
  4. Step 4: Simplify right side
    264,762.42x = 52,578,864,999.36
  5. Step 5: Solve for x
    x = 52,578,864,999.36/264,762.42
  6. Step 6: Final answer
    x = 198,588.85

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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.