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Finding the Fourth Proportional to 280,428.32, 387,000.26 and 153,113.60

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Solution

The fourth proportional to 280,428.32, 387,000.26 and 153,113.60 is: 211,301.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,428.32 : 387,000.26 = 153,113.60 : x
  2. Step 2: Convert to fraction form
    280,428.32/387,000.26 = 153,113.60/x
  3. Step 3: Cross multiply
    280,428.32x = 387,000.26 × 153,113.60
  4. Step 4: Simplify right side
    280,428.32x = 59,255,003,009.54
  5. Step 5: Solve for x
    x = 59,255,003,009.54/280,428.32
  6. Step 6: Final answer
    x = 211,301.78

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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.