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Finding the Fourth Proportional to 119,141.80, 178,712.70 and 99,896.20

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Solution

The fourth proportional to 119,141.80, 178,712.70 and 99,896.20 is: 149,844.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,141.80 : 178,712.70 = 99,896.20 : x
  2. Step 2: Convert to fraction form
    119,141.80/178,712.70 = 99,896.20/x
  3. Step 3: Cross multiply
    119,141.80x = 178,712.70 × 99,896.20
  4. Step 4: Simplify right side
    119,141.80x = 17,852,719,621.74
  5. Step 5: Solve for x
    x = 17,852,719,621.74/119,141.80
  6. Step 6: Final answer
    x = 149,844.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.