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Finding the Fourth Proportional to 256,096.90, 384,145.35 and 69,108.10

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Solution

The fourth proportional to 256,096.90, 384,145.35 and 69,108.10 is: 103,662.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,096.90 : 384,145.35 = 69,108.10 : x
  2. Step 2: Convert to fraction form
    256,096.90/384,145.35 = 69,108.10/x
  3. Step 3: Cross multiply
    256,096.90x = 384,145.35 × 69,108.10
  4. Step 4: Simplify right side
    256,096.90x = 26,547,555,262.34
  5. Step 5: Solve for x
    x = 26,547,555,262.34/256,096.90
  6. Step 6: Final answer
    x = 103,662.15

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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.