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Finding the Fourth Proportional to 151,931.40, 227,459.70 and 134,435.40

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Solution

The fourth proportional to 151,931.40, 227,459.70 and 134,435.40 is: 201,266.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,931.40 : 227,459.70 = 134,435.40 : x
  2. Step 2: Convert to fraction form
    151,931.40/227,459.70 = 134,435.40/x
  3. Step 3: Cross multiply
    151,931.40x = 227,459.70 × 134,435.40
  4. Step 4: Simplify right side
    151,931.40x = 30,578,635,753.38
  5. Step 5: Solve for x
    x = 30,578,635,753.38/151,931.40
  6. Step 6: Final answer
    x = 201,266.07

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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.