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Finding the Fourth Proportional to 141,304.80, 212,302.80 and 106,312.80

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Solution

The fourth proportional to 141,304.80, 212,302.80 and 106,312.80 is: 159,729.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,304.80 : 212,302.80 = 106,312.80 : x
  2. Step 2: Convert to fraction form
    141,304.80/212,302.80 = 106,312.80/x
  3. Step 3: Cross multiply
    141,304.80x = 212,302.80 × 106,312.80
  4. Step 4: Simplify right side
    141,304.80x = 22,570,505,115.84
  5. Step 5: Solve for x
    x = 22,570,505,115.84/141,304.80
  6. Step 6: Final answer
    x = 159,729.22

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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.