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Finding the Fourth Proportional to 111,213.94, 152,977.53 and 97,534.66

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Solution

The fourth proportional to 111,213.94, 152,977.53 and 97,534.66 is: 134,161.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,213.94 : 152,977.53 = 97,534.66 : x
  2. Step 2: Convert to fraction form
    111,213.94/152,977.53 = 97,534.66/x
  3. Step 3: Cross multiply
    111,213.94x = 152,977.53 × 97,534.66
  4. Step 4: Simplify right side
    111,213.94x = 14,920,611,376.19
  5. Step 5: Solve for x
    x = 14,920,611,376.19/111,213.94
  6. Step 6: Final answer
    x = 134,161.34

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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.