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Finding the Fourth Proportional to 280,308.81, 386,820.76 and 152,985.31

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Solution

The fourth proportional to 280,308.81, 386,820.76 and 152,985.31 is: 211,116.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,308.81 : 386,820.76 = 152,985.31 : x
  2. Step 2: Convert to fraction form
    280,308.81/386,820.76 = 152,985.31/x
  3. Step 3: Cross multiply
    280,308.81x = 386,820.76 × 152,985.31
  4. Step 4: Simplify right side
    280,308.81x = 59,177,893,883.04
  5. Step 5: Solve for x
    x = 59,177,893,883.04/280,308.81
  6. Step 6: Final answer
    x = 211,116.78

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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.