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Finding the Fourth Proportional to 101,875, 152,873.94 and 43,507

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Solution

The fourth proportional to 101,875, 152,873.94 and 43,507 is: 65,286.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,875 : 152,873.94 = 43,507 : x
  2. Step 2: Convert to fraction form
    101,875/152,873.94 = 43,507/x
  3. Step 3: Cross multiply
    101,875x = 152,873.94 × 43,507
  4. Step 4: Simplify right side
    101,875x = 6,651,086,507.58
  5. Step 5: Solve for x
    x = 6,651,086,507.58/101,875
  6. Step 6: Final answer
    x = 65,286.74

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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.