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Finding the Fourth Proportional to 264,276.30, 364,701.52 and 143,417.58

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Solution

The fourth proportional to 264,276.30, 364,701.52 and 143,417.58 is: 197,916.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,276.30 : 364,701.52 = 143,417.58 : x
  2. Step 2: Convert to fraction form
    264,276.30/364,701.52 = 143,417.58/x
  3. Step 3: Cross multiply
    264,276.30x = 364,701.52 × 143,417.58
  4. Step 4: Simplify right side
    264,276.30x = 52,304,609,420.72
  5. Step 5: Solve for x
    x = 52,304,609,420.72/264,276.30
  6. Step 6: Final answer
    x = 197,916.38

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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.