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Finding the Fourth Proportional to 216,948.80, 325,714.80 and 138,411.20

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Solution

The fourth proportional to 216,948.80, 325,714.80 and 138,411.20 is: 207,802.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,948.80 : 325,714.80 = 138,411.20 : x
  2. Step 2: Convert to fraction form
    216,948.80/325,714.80 = 138,411.20/x
  3. Step 3: Cross multiply
    216,948.80x = 325,714.80 × 138,411.20
  4. Step 4: Simplify right side
    216,948.80x = 45,082,576,325.76
  5. Step 5: Solve for x
    x = 45,082,576,325.76/216,948.80
  6. Step 6: Final answer
    x = 207,802.84

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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.