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Finding the Fourth Proportional to 202,706.28, 304,112.16 and 76,347.48

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Solution

The fourth proportional to 202,706.28, 304,112.16 and 76,347.48 is: 114,541.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,706.28 : 304,112.16 = 76,347.48 : x
  2. Step 2: Convert to fraction form
    202,706.28/304,112.16 = 76,347.48/x
  3. Step 3: Cross multiply
    202,706.28x = 304,112.16 × 76,347.48
  4. Step 4: Simplify right side
    202,706.28x = 23,218,197,053.36
  5. Step 5: Solve for x
    x = 23,218,197,053.36/202,706.28
  6. Step 6: Final answer
    x = 114,541.08

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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.