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Finding the Fourth Proportional to 126,401.16, 174,418.68 and 69,809.16

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Solution

The fourth proportional to 126,401.16, 174,418.68 and 69,809.16 is: 96,328.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,401.16 : 174,418.68 = 69,809.16 : x
  2. Step 2: Convert to fraction form
    126,401.16/174,418.68 = 69,809.16/x
  3. Step 3: Cross multiply
    126,401.16x = 174,418.68 × 69,809.16
  4. Step 4: Simplify right side
    126,401.16x = 12,176,021,539.11
  5. Step 5: Solve for x
    x = 12,176,021,539.11/126,401.16
  6. Step 6: Final answer
    x = 96,328.40

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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.