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Finding the Fourth Proportional to 228,096.30, 342,144.45 and 134,784.30

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Solution

The fourth proportional to 228,096.30, 342,144.45 and 134,784.30 is: 202,176.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,096.30 : 342,144.45 = 134,784.30 : x
  2. Step 2: Convert to fraction form
    228,096.30/342,144.45 = 134,784.30/x
  3. Step 3: Cross multiply
    228,096.30x = 342,144.45 × 134,784.30
  4. Step 4: Simplify right side
    228,096.30x = 46,115,700,192.14
  5. Step 5: Solve for x
    x = 46,115,700,192.14/228,096.30
  6. Step 6: Final answer
    x = 202,176.45

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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.