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Finding the Fourth Proportional to 145,874.51, 218,811.81 and 46,044.80

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Solution

The fourth proportional to 145,874.51, 218,811.81 and 46,044.80 is: 69,067.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,874.51 : 218,811.81 = 46,044.80 : x
  2. Step 2: Convert to fraction form
    145,874.51/218,811.81 = 46,044.80/x
  3. Step 3: Cross multiply
    145,874.51x = 218,811.81 × 46,044.80
  4. Step 4: Simplify right side
    145,874.51x = 10,075,144,935.03
  5. Step 5: Solve for x
    x = 10,075,144,935.03/145,874.51
  6. Step 6: Final answer
    x = 69,067.21

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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.