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Finding the Fourth Proportional to 258,547.80, 387,821.70 and 71,559.30

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Solution

The fourth proportional to 258,547.80, 387,821.70 and 71,559.30 is: 107,338.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,547.80 : 387,821.70 = 71,559.30 : x
  2. Step 2: Convert to fraction form
    258,547.80/387,821.70 = 71,559.30/x
  3. Step 3: Cross multiply
    258,547.80x = 387,821.70 × 71,559.30
  4. Step 4: Simplify right side
    258,547.80x = 27,752,249,376.81
  5. Step 5: Solve for x
    x = 27,752,249,376.81/258,547.80
  6. Step 6: Final answer
    x = 107,338.95

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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.