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Finding the Fourth Proportional to 267,424.47, 369,048.66 and 146,563.16

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Solution

The fourth proportional to 267,424.47, 369,048.66 and 146,563.16 is: 202,258.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,424.47 : 369,048.66 = 146,563.16 : x
  2. Step 2: Convert to fraction form
    267,424.47/369,048.66 = 146,563.16/x
  3. Step 3: Cross multiply
    267,424.47x = 369,048.66 × 146,563.16
  4. Step 4: Simplify right side
    267,424.47x = 54,088,935,408.51
  5. Step 5: Solve for x
    x = 54,088,935,408.51/267,424.47
  6. Step 6: Final answer
    x = 202,258.74

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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.