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Finding the Fourth Proportional to 112,042.40, 156,976 and 112,042.40

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Solution

The fourth proportional to 112,042.40, 156,976 and 112,042.40 is: 156,976

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,042.40 : 156,976 = 112,042.40 : x
  2. Step 2: Convert to fraction form
    112,042.40/156,976 = 112,042.40/x
  3. Step 3: Cross multiply
    112,042.40x = 156,976 × 112,042.40
  4. Step 4: Simplify right side
    112,042.40x = 17,587,967,782.40
  5. Step 5: Solve for x
    x = 17,587,967,782.40/112,042.40
  6. Step 6: Final answer
    x = 156,976

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.