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Finding the Fourth Proportional to 175,284, 242,352.80 and 167,450.40

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Solution

The fourth proportional to 175,284, 242,352.80 and 167,450.40 is: 231,521.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,284 : 242,352.80 = 167,450.40 : x
  2. Step 2: Convert to fraction form
    175,284/242,352.80 = 167,450.40/x
  3. Step 3: Cross multiply
    175,284x = 242,352.80 × 167,450.40
  4. Step 4: Simplify right side
    175,284x = 40,582,073,301.12
  5. Step 5: Solve for x
    x = 40,582,073,301.12/175,284
  6. Step 6: Final answer
    x = 231,521.83

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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.