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Finding the Fourth Proportional to 288,515.36, 432,718.68 and 78,125.60

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Solution

The fourth proportional to 288,515.36, 432,718.68 and 78,125.60 is: 117,173.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,515.36 : 432,718.68 = 78,125.60 : x
  2. Step 2: Convert to fraction form
    288,515.36/432,718.68 = 78,125.60/x
  3. Step 3: Cross multiply
    288,515.36x = 432,718.68 × 78,125.60
  4. Step 4: Simplify right side
    288,515.36x = 33,806,406,506.21
  5. Step 5: Solve for x
    x = 33,806,406,506.21/288,515.36
  6. Step 6: Final answer
    x = 117,173.68

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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.