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Finding the Fourth Proportional to 173,142, 238,954.32 and 101,582.28

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Solution

The fourth proportional to 173,142, 238,954.32 and 101,582.28 is: 140,194.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,142 : 238,954.32 = 101,582.28 : x
  2. Step 2: Convert to fraction form
    173,142/238,954.32 = 101,582.28/x
  3. Step 3: Cross multiply
    173,142x = 238,954.32 × 101,582.28
  4. Step 4: Simplify right side
    173,142x = 24,273,524,641.45
  5. Step 5: Solve for x
    x = 24,273,524,641.45/173,142
  6. Step 6: Final answer
    x = 140,194.32

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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.