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Finding the Fourth Proportional to 141,397, 212,095.50 and 42,901

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Solution

The fourth proportional to 141,397, 212,095.50 and 42,901 is: 64,351.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,397 : 212,095.50 = 42,901 : x
  2. Step 2: Convert to fraction form
    141,397/212,095.50 = 42,901/x
  3. Step 3: Cross multiply
    141,397x = 212,095.50 × 42,901
  4. Step 4: Simplify right side
    141,397x = 9,099,109,045.50
  5. Step 5: Solve for x
    x = 9,099,109,045.50/141,397
  6. Step 6: Final answer
    x = 64,351.50

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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.