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Finding the Fourth Proportional to 267,944.82, 369,762.40 and 147,088.16

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Solution

The fourth proportional to 267,944.82, 369,762.40 and 147,088.16 is: 202,980.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,944.82 : 369,762.40 = 147,088.16 : x
  2. Step 2: Convert to fraction form
    267,944.82/369,762.40 = 147,088.16/x
  3. Step 3: Cross multiply
    267,944.82x = 369,762.40 × 147,088.16
  4. Step 4: Simplify right side
    267,944.82x = 54,387,671,053.18
  5. Step 5: Solve for x
    x = 54,387,671,053.18/267,944.82
  6. Step 6: Final answer
    x = 202,980.86

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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.