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Finding the Fourth Proportional to 141,710.30, 212,559.30 and 52,964.58

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Solution

The fourth proportional to 141,710.30, 212,559.30 and 52,964.58 is: 79,444.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,710.30 : 212,559.30 = 52,964.58 : x
  2. Step 2: Convert to fraction form
    141,710.30/212,559.30 = 52,964.58/x
  3. Step 3: Cross multiply
    141,710.30x = 212,559.30 × 52,964.58
  4. Step 4: Simplify right side
    141,710.30x = 11,258,114,049.59
  5. Step 5: Solve for x
    x = 11,258,114,049.59/141,710.30
  6. Step 6: Final answer
    x = 79,444.57

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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.