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Finding the Fourth Proportional to 141,065.98, 194,674.62 and 77,403.76

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Solution

The fourth proportional to 141,065.98, 194,674.62 and 77,403.76 is: 106,819.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,065.98 : 194,674.62 = 77,403.76 : x
  2. Step 2: Convert to fraction form
    141,065.98/194,674.62 = 77,403.76/x
  3. Step 3: Cross multiply
    141,065.98x = 194,674.62 × 77,403.76
  4. Step 4: Simplify right side
    141,065.98x = 15,068,547,564.57
  5. Step 5: Solve for x
    x = 15,068,547,564.57/141,065.98
  6. Step 6: Final answer
    x = 106,819.15

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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.