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Finding the Fourth Proportional to 224,914.17, 337,465.04 and 98,645.14

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Solution

The fourth proportional to 224,914.17, 337,465.04 and 98,645.14 is: 148,008.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,914.17 : 337,465.04 = 98,645.14 : x
  2. Step 2: Convert to fraction form
    224,914.17/337,465.04 = 98,645.14/x
  3. Step 3: Cross multiply
    224,914.17x = 337,465.04 × 98,645.14
  4. Step 4: Simplify right side
    224,914.17x = 33,289,286,044.51
  5. Step 5: Solve for x
    x = 33,289,286,044.51/224,914.17
  6. Step 6: Final answer
    x = 148,008.84

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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.