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Finding the Fourth Proportional to 267,184, 400,802.56 and 98,748.48

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Solution

The fourth proportional to 267,184, 400,802.56 and 98,748.48 is: 148,132.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,184 : 400,802.56 = 98,748.48 : x
  2. Step 2: Convert to fraction form
    267,184/400,802.56 = 98,748.48/x
  3. Step 3: Cross multiply
    267,184x = 400,802.56 × 98,748.48
  4. Step 4: Simplify right side
    267,184x = 39,578,643,580.11
  5. Step 5: Solve for x
    x = 39,578,643,580.11/267,184
  6. Step 6: Final answer
    x = 148,132.54

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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.