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Finding the Fourth Proportional to 202,294.94, 301,904.20 and 179,875.34

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Solution

The fourth proportional to 202,294.94, 301,904.20 and 179,875.34 is: 268,445.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,294.94 : 301,904.20 = 179,875.34 : x
  2. Step 2: Convert to fraction form
    202,294.94/301,904.20 = 179,875.34/x
  3. Step 3: Cross multiply
    202,294.94x = 301,904.20 × 179,875.34
  4. Step 4: Simplify right side
    202,294.94x = 54,305,120,622.43
  5. Step 5: Solve for x
    x = 54,305,120,622.43/202,294.94
  6. Step 6: Final answer
    x = 268,445.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.