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Finding the Fourth Proportional to 264,352, 364,808.32 and 145,122.56

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Solution

The fourth proportional to 264,352, 364,808.32 and 145,122.56 is: 200,270.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,352 : 364,808.32 = 145,122.56 : x
  2. Step 2: Convert to fraction form
    264,352/364,808.32 = 145,122.56/x
  3. Step 3: Cross multiply
    264,352x = 364,808.32 × 145,122.56
  4. Step 4: Simplify right side
    264,352x = 52,941,917,307.70
  5. Step 5: Solve for x
    x = 52,941,917,307.70/264,352
  6. Step 6: Final answer
    x = 200,270.54

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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.