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Finding the Fourth Proportional to 113,133.74, 169,498.11 and 75,580.07

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Solution

The fourth proportional to 113,133.74, 169,498.11 and 75,580.07 is: 113,234.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,133.74 : 169,498.11 = 75,580.07 : x
  2. Step 2: Convert to fraction form
    113,133.74/169,498.11 = 75,580.07/x
  3. Step 3: Cross multiply
    113,133.74x = 169,498.11 × 75,580.07
  4. Step 4: Simplify right side
    113,133.74x = 12,810,679,018.67
  5. Step 5: Solve for x
    x = 12,810,679,018.67/113,133.74
  6. Step 6: Final answer
    x = 113,234.82

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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.