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Finding the Fourth Proportional to 116,012.84, 160,049.72 and 75,712.08

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Solution

The fourth proportional to 116,012.84, 160,049.72 and 75,712.08 is: 104,451.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,012.84 : 160,049.72 = 75,712.08 : x
  2. Step 2: Convert to fraction form
    116,012.84/160,049.72 = 75,712.08/x
  3. Step 3: Cross multiply
    116,012.84x = 160,049.72 × 75,712.08
  4. Step 4: Simplify right side
    116,012.84x = 12,117,697,204.62
  5. Step 5: Solve for x
    x = 12,117,697,204.62/116,012.84
  6. Step 6: Final answer
    x = 104,451.35

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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.