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Finding the Fourth Proportional to 256,837.40, 385,140.90 and 99,013.40

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Solution

The fourth proportional to 256,837.40, 385,140.90 and 99,013.40 is: 148,475.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,837.40 : 385,140.90 = 99,013.40 : x
  2. Step 2: Convert to fraction form
    256,837.40/385,140.90 = 99,013.40/x
  3. Step 3: Cross multiply
    256,837.40x = 385,140.90 × 99,013.40
  4. Step 4: Simplify right side
    256,837.40x = 38,134,109,988.06
  5. Step 5: Solve for x
    x = 38,134,109,988.06/256,837.40
  6. Step 6: Final answer
    x = 148,475.69

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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.