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Finding the Fourth Proportional to 280,289.88, 386,794.64 and 152,966.39

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Solution

The fourth proportional to 280,289.88, 386,794.64 and 152,966.39 is: 211,090.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,289.88 : 386,794.64 = 152,966.39 : x
  2. Step 2: Convert to fraction form
    280,289.88/386,794.64 = 152,966.39/x
  3. Step 3: Cross multiply
    280,289.88x = 386,794.64 × 152,966.39
  4. Step 4: Simplify right side
    280,289.88x = 59,166,577,053.34
  5. Step 5: Solve for x
    x = 59,166,577,053.34/280,289.88
  6. Step 6: Final answer
    x = 211,090.66

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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.