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Finding the Fourth Proportional to 280,150.13, 386,608.32 and 152,828.39

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Solution

The fourth proportional to 280,150.13, 386,608.32 and 152,828.39 is: 210,903.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,150.13 : 386,608.32 = 152,828.39 : x
  2. Step 2: Convert to fraction form
    280,150.13/386,608.32 = 152,828.39/x
  3. Step 3: Cross multiply
    280,150.13x = 386,608.32 × 152,828.39
  4. Step 4: Simplify right side
    280,150.13x = 59,084,725,173.16
  5. Step 5: Solve for x
    x = 59,084,725,173.16/280,150.13
  6. Step 6: Final answer
    x = 210,903.80

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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.