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Finding the Fourth Proportional to 277,511.68, 382,966.16 and 150,187.36

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Solution

The fourth proportional to 277,511.68, 382,966.16 and 150,187.36 is: 207,258.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,511.68 : 382,966.16 = 150,187.36 : x
  2. Step 2: Convert to fraction form
    277,511.68/382,966.16 = 150,187.36/x
  3. Step 3: Cross multiply
    277,511.68x = 382,966.16 × 150,187.36
  4. Step 4: Simplify right side
    277,511.68x = 57,516,676,539.74
  5. Step 5: Solve for x
    x = 57,516,676,539.74/277,511.68
  6. Step 6: Final answer
    x = 207,258.58

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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.