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Finding the Fourth Proportional to 113,950.84, 157,282.78 and 65,558.30

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Solution

The fourth proportional to 113,950.84, 157,282.78 and 65,558.30 is: 90,488.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,950.84 : 157,282.78 = 65,558.30 : x
  2. Step 2: Convert to fraction form
    113,950.84/157,282.78 = 65,558.30/x
  3. Step 3: Cross multiply
    113,950.84x = 157,282.78 × 65,558.30
  4. Step 4: Simplify right side
    113,950.84x = 10,311,191,676.07
  5. Step 5: Solve for x
    x = 10,311,191,676.07/113,950.84
  6. Step 6: Final answer
    x = 90,488.07

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1.5x scale

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.