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Finding the Fourth Proportional to 140,995.84, 194,574.54 and 77,334.16

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Solution

The fourth proportional to 140,995.84, 194,574.54 and 77,334.16 is: 106,721.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,995.84 : 194,574.54 = 77,334.16 : x
  2. Step 2: Convert to fraction form
    140,995.84/194,574.54 = 77,334.16/x
  3. Step 3: Cross multiply
    140,995.84x = 194,574.54 × 77,334.16
  4. Step 4: Simplify right side
    140,995.84x = 15,047,258,608.29
  5. Step 5: Solve for x
    x = 15,047,258,608.29/140,995.84
  6. Step 6: Final answer
    x = 106,721.29

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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.