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Finding the Fourth Proportional to 282,931.38, 390,446.91 and 153,871.38

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Solution

The fourth proportional to 282,931.38, 390,446.91 and 153,871.38 is: 212,343.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,931.38 : 390,446.91 = 153,871.38 : x
  2. Step 2: Convert to fraction form
    282,931.38/390,446.91 = 153,871.38/x
  3. Step 3: Cross multiply
    282,931.38x = 390,446.91 × 153,871.38
  4. Step 4: Simplify right side
    282,931.38x = 60,078,604,858.44
  5. Step 5: Solve for x
    x = 60,078,604,858.44/282,931.38
  6. Step 6: Final answer
    x = 212,343.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.