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Finding the Fourth Proportional to 280,154, 386,611.98 and 152,829.56

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Solution

The fourth proportional to 280,154, 386,611.98 and 152,829.56 is: 210,904.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,154 : 386,611.98 = 152,829.56 : x
  2. Step 2: Convert to fraction form
    280,154/386,611.98 = 152,829.56/x
  3. Step 3: Cross multiply
    280,154x = 386,611.98 × 152,829.56
  4. Step 4: Simplify right side
    280,154x = 59,085,738,794.13
  5. Step 5: Solve for x
    x = 59,085,738,794.13/280,154
  6. Step 6: Final answer
    x = 210,904.50

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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.