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Finding the Fourth Proportional to 224,315.85, 309,547.31 and 123,713.85

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Solution

The fourth proportional to 224,315.85, 309,547.31 and 123,713.85 is: 170,720.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,315.85 : 309,547.31 = 123,713.85 : x
  2. Step 2: Convert to fraction form
    224,315.85/309,547.31 = 123,713.85/x
  3. Step 3: Cross multiply
    224,315.85x = 309,547.31 × 123,713.85
  4. Step 4: Simplify right side
    224,315.85x = 38,295,289,477.24
  5. Step 5: Solve for x
    x = 38,295,289,477.24/224,315.85
  6. Step 6: Final answer
    x = 170,720.39

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Why These Related Problems?

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