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Finding the Fourth Proportional to 114,461, 157,965.92 and 64,169.72

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Solution

The fourth proportional to 114,461, 157,965.92 and 64,169.72 is: 88,559.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,461 : 157,965.92 = 64,169.72 : x
  2. Step 2: Convert to fraction form
    114,461/157,965.92 = 64,169.72/x
  3. Step 3: Cross multiply
    114,461x = 157,965.92 × 64,169.72
  4. Step 4: Simplify right side
    114,461x = 10,136,628,855.94
  5. Step 5: Solve for x
    x = 10,136,628,855.94/114,461
  6. Step 6: Final answer
    x = 88,559.67

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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.