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Finding the Fourth Proportional to 267,284, 368,852.64 and 148,052

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Solution

The fourth proportional to 267,284, 368,852.64 and 148,052 is: 204,312.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,284 : 368,852.64 = 148,052 : x
  2. Step 2: Convert to fraction form
    267,284/368,852.64 = 148,052/x
  3. Step 3: Cross multiply
    267,284x = 368,852.64 × 148,052
  4. Step 4: Simplify right side
    267,284x = 54,609,371,057.28
  5. Step 5: Solve for x
    x = 54,609,371,057.28/267,284
  6. Step 6: Final answer
    x = 204,312.16

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Why These Related Problems?

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