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Finding the Fourth Proportional to 101,742.88, 152,614.32 and 46,300

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Solution

The fourth proportional to 101,742.88, 152,614.32 and 46,300 is: 69,450

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,742.88 : 152,614.32 = 46,300 : x
  2. Step 2: Convert to fraction form
    101,742.88/152,614.32 = 46,300/x
  3. Step 3: Cross multiply
    101,742.88x = 152,614.32 × 46,300
  4. Step 4: Simplify right side
    101,742.88x = 7,066,043,016
  5. Step 5: Solve for x
    x = 7,066,043,016/101,742.88
  6. Step 6: Final answer
    x = 69,450

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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.