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Finding the Fourth Proportional to 256,833.40, 385,134.90 and 99,009.40

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Solution

The fourth proportional to 256,833.40, 385,134.90 and 99,009.40 is: 148,469.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,833.40 : 385,134.90 = 99,009.40 : x
  2. Step 2: Convert to fraction form
    256,833.40/385,134.90 = 99,009.40/x
  3. Step 3: Cross multiply
    256,833.40x = 385,134.90 × 99,009.40
  4. Step 4: Simplify right side
    256,833.40x = 38,131,975,368.06
  5. Step 5: Solve for x
    x = 38,131,975,368.06/256,833.40
  6. Step 6: Final answer
    x = 148,469.69

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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.