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Finding the Fourth Proportional to 141,726, 212,598.72 and 46,956

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Solution

The fourth proportional to 141,726, 212,598.72 and 46,956 is: 70,437.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,726 : 212,598.72 = 46,956 : x
  2. Step 2: Convert to fraction form
    141,726/212,598.72 = 46,956/x
  3. Step 3: Cross multiply
    141,726x = 212,598.72 × 46,956
  4. Step 4: Simplify right side
    141,726x = 9,982,785,496.32
  5. Step 5: Solve for x
    x = 9,982,785,496.32/141,726
  6. Step 6: Final answer
    x = 70,437.22

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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.