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Finding the Fourth Proportional to 216,948.40, 325,714.20 and 138,216.40

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Solution

The fourth proportional to 216,948.40, 325,714.20 and 138,216.40 is: 207,510.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,948.40 : 325,714.20 = 138,216.40 : x
  2. Step 2: Convert to fraction form
    216,948.40/325,714.20 = 138,216.40/x
  3. Step 3: Cross multiply
    216,948.40x = 325,714.20 × 138,216.40
  4. Step 4: Simplify right side
    216,948.40x = 45,019,044,152.88
  5. Step 5: Solve for x
    x = 45,019,044,152.88/216,948.40
  6. Step 6: Final answer
    x = 207,510.38

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