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Finding the Fourth Proportional to 195,999.40, 293,696.70 and 145,844.20

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Solution

The fourth proportional to 195,999.40, 293,696.70 and 145,844.20 is: 218,541.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,999.40 : 293,696.70 = 145,844.20 : x
  2. Step 2: Convert to fraction form
    195,999.40/293,696.70 = 145,844.20/x
  3. Step 3: Cross multiply
    195,999.40x = 293,696.70 × 145,844.20
  4. Step 4: Simplify right side
    195,999.40x = 42,833,960,254.14
  5. Step 5: Solve for x
    x = 42,833,960,254.14/195,999.40
  6. Step 6: Final answer
    x = 218,541.28

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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.