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Finding the Fourth Proportional to 256,826.40, 385,124.40 and 99,002.40

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Solution

The fourth proportional to 256,826.40, 385,124.40 and 99,002.40 is: 148,459.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,826.40 : 385,124.40 = 99,002.40 : x
  2. Step 2: Convert to fraction form
    256,826.40/385,124.40 = 99,002.40/x
  3. Step 3: Cross multiply
    256,826.40x = 385,124.40 × 99,002.40
  4. Step 4: Simplify right side
    256,826.40x = 38,128,239,898.56
  5. Step 5: Solve for x
    x = 38,128,239,898.56/256,826.40
  6. Step 6: Final answer
    x = 148,459.19

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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.