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Finding the Fourth Proportional to 145,570.88, 218,006.40 and 83,051.84

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Solution

The fourth proportional to 145,570.88, 218,006.40 and 83,051.84 is: 124,378.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,570.88 : 218,006.40 = 83,051.84 : x
  2. Step 2: Convert to fraction form
    145,570.88/218,006.40 = 83,051.84/x
  3. Step 3: Cross multiply
    145,570.88x = 218,006.40 × 83,051.84
  4. Step 4: Simplify right side
    145,570.88x = 18,105,832,651.78
  5. Step 5: Solve for x
    x = 18,105,832,651.78/145,570.88
  6. Step 6: Final answer
    x = 124,378.12

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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.