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Finding the Fourth Proportional to 220,937.72, 305,073.96 and 180,108.32

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Solution

The fourth proportional to 220,937.72, 305,073.96 and 180,108.32 is: 248,696.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,937.72 : 305,073.96 = 180,108.32 : x
  2. Step 2: Convert to fraction form
    220,937.72/305,073.96 = 180,108.32/x
  3. Step 3: Cross multiply
    220,937.72x = 305,073.96 × 180,108.32
  4. Step 4: Simplify right side
    220,937.72x = 54,946,358,411.35
  5. Step 5: Solve for x
    x = 54,946,358,411.35/220,937.72
  6. Step 6: Final answer
    x = 248,696.14

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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.