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Finding the Fourth Proportional to 114,534, 158,074.20 and 69,847.92

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Solution

The fourth proportional to 114,534, 158,074.20 and 69,847.92 is: 96,400.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,534 : 158,074.20 = 69,847.92 : x
  2. Step 2: Convert to fraction form
    114,534/158,074.20 = 69,847.92/x
  3. Step 3: Cross multiply
    114,534x = 158,074.20 × 69,847.92
  4. Step 4: Simplify right side
    114,534x = 11,041,154,075.66
  5. Step 5: Solve for x
    x = 11,041,154,075.66/114,534
  6. Step 6: Final answer
    x = 96,400.67

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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.