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Finding the Fourth Proportional to 280,564.35, 387,178.80 and 153,240.25

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Solution

The fourth proportional to 280,564.35, 387,178.80 and 153,240.25 is: 211,471.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,564.35 : 387,178.80 = 153,240.25 : x
  2. Step 2: Convert to fraction form
    280,564.35/387,178.80 = 153,240.25/x
  3. Step 3: Cross multiply
    280,564.35x = 387,178.80 × 153,240.25
  4. Step 4: Simplify right side
    280,564.35x = 59,331,374,170.81
  5. Step 5: Solve for x
    x = 59,331,374,170.81/280,564.35
  6. Step 6: Final answer
    x = 211,471.54

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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.