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Finding the Fourth Proportional to 209,676.77, 314,470.49 and 59,877.29

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Solution

The fourth proportional to 209,676.77, 314,470.49 and 59,877.29 is: 89,803.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,676.77 : 314,470.49 = 59,877.29 : x
  2. Step 2: Convert to fraction form
    209,676.77/314,470.49 = 59,877.29/x
  3. Step 3: Cross multiply
    209,676.77x = 314,470.49 × 59,877.29
  4. Step 4: Simplify right side
    209,676.77x = 18,829,639,303.51
  5. Step 5: Solve for x
    x = 18,829,639,303.51/209,676.77
  6. Step 6: Final answer
    x = 89,803.18

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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.