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Finding the Fourth Proportional to 264,373.47, 364,837.53 and 146,502.38

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Solution

The fourth proportional to 264,373.47, 364,837.53 and 146,502.38 is: 202,174.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,373.47 : 364,837.53 = 146,502.38 : x
  2. Step 2: Convert to fraction form
    264,373.47/364,837.53 = 146,502.38/x
  3. Step 3: Cross multiply
    264,373.47x = 364,837.53 × 146,502.38
  4. Step 4: Simplify right side
    264,373.47x = 53,449,564,634.13
  5. Step 5: Solve for x
    x = 53,449,564,634.13/264,373.47
  6. Step 6: Final answer
    x = 202,174.46

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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.