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Finding the Fourth Proportional to 264,158.01, 364,538.07 and 143,298.72

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Solution

The fourth proportional to 264,158.01, 364,538.07 and 143,298.72 is: 197,752.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,158.01 : 364,538.07 = 143,298.72 : x
  2. Step 2: Convert to fraction form
    264,158.01/364,538.07 = 143,298.72/x
  3. Step 3: Cross multiply
    264,158.01x = 364,538.07 × 143,298.72
  4. Step 4: Simplify right side
    264,158.01x = 52,237,838,822.27
  5. Step 5: Solve for x
    x = 52,237,838,822.27/264,158.01
  6. Step 6: Final answer
    x = 197,752.24

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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.