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Finding the Fourth Proportional to 160,875, 222,013.43 and 97,200.49

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Solution

The fourth proportional to 160,875, 222,013.43 and 97,200.49 is: 134,140.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,875 : 222,013.43 = 97,200.49 : x
  2. Step 2: Convert to fraction form
    160,875/222,013.43 = 97,200.49/x
  3. Step 3: Cross multiply
    160,875x = 222,013.43 × 97,200.49
  4. Step 4: Simplify right side
    160,875x = 21,579,814,182.58
  5. Step 5: Solve for x
    x = 21,579,814,182.58/160,875
  6. Step 6: Final answer
    x = 134,140.26

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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.