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Finding the Fourth Proportional to 237,794.42, 328,197.92 and 180,623

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Solution

The fourth proportional to 237,794.42, 328,197.92 and 180,623 is: 249,291.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,794.42 : 328,197.92 = 180,623 : x
  2. Step 2: Convert to fraction form
    237,794.42/328,197.92 = 180,623/x
  3. Step 3: Cross multiply
    237,794.42x = 328,197.92 × 180,623
  4. Step 4: Simplify right side
    237,794.42x = 59,280,092,904.16
  5. Step 5: Solve for x
    x = 59,280,092,904.16/237,794.42
  6. Step 6: Final answer
    x = 249,291.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.