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Finding the Fourth Proportional to 280,109.88, 386,560.62 and 152,790.84

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Solution

The fourth proportional to 280,109.88, 386,560.62 and 152,790.84 is: 210,856.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,109.88 : 386,560.62 = 152,790.84 : x
  2. Step 2: Convert to fraction form
    280,109.88/386,560.62 = 152,790.84/x
  3. Step 3: Cross multiply
    280,109.88x = 386,560.62 × 152,790.84
  4. Step 4: Simplify right side
    280,109.88x = 59,062,921,840.72
  5. Step 5: Solve for x
    x = 59,062,921,840.72/280,109.88
  6. Step 6: Final answer
    x = 210,856.26

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1.5x scale

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.