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Finding the Fourth Proportional to 240,681.20, 360,922.44 and 90,896

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Solution

The fourth proportional to 240,681.20, 360,922.44 and 90,896 is: 136,306.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,681.20 : 360,922.44 = 90,896 : x
  2. Step 2: Convert to fraction form
    240,681.20/360,922.44 = 90,896/x
  3. Step 3: Cross multiply
    240,681.20x = 360,922.44 × 90,896
  4. Step 4: Simplify right side
    240,681.20x = 32,806,406,106.24
  5. Step 5: Solve for x
    x = 32,806,406,106.24/240,681.20
  6. Step 6: Final answer
    x = 136,306.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.