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Finding the Fourth Proportional to 217,509.90, 325,827.45 and 146,651.10

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Solution

The fourth proportional to 217,509.90, 325,827.45 and 146,651.10 is: 219,681.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,509.90 : 325,827.45 = 146,651.10 : x
  2. Step 2: Convert to fraction form
    217,509.90/325,827.45 = 146,651.10/x
  3. Step 3: Cross multiply
    217,509.90x = 325,827.45 × 146,651.10
  4. Step 4: Simplify right side
    217,509.90x = 47,782,953,952.70
  5. Step 5: Solve for x
    x = 47,782,953,952.70/217,509.90
  6. Step 6: Final answer
    x = 219,681.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.