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Finding the Fourth Proportional to 267,421.16, 368,962.08 and 152,696

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Solution

The fourth proportional to 267,421.16, 368,962.08 and 152,696 is: 210,675.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,421.16 : 368,962.08 = 152,696 : x
  2. Step 2: Convert to fraction form
    267,421.16/368,962.08 = 152,696/x
  3. Step 3: Cross multiply
    267,421.16x = 368,962.08 × 152,696
  4. Step 4: Simplify right side
    267,421.16x = 56,339,033,767.68
  5. Step 5: Solve for x
    x = 56,339,033,767.68/267,421.16
  6. Step 6: Final answer
    x = 210,675.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.