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Finding the Fourth Proportional to 280,147.16, 386,601.72 and 152,821.64

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Solution

The fourth proportional to 280,147.16, 386,601.72 and 152,821.64 is: 210,893.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,147.16 : 386,601.72 = 152,821.64 : x
  2. Step 2: Convert to fraction form
    280,147.16/386,601.72 = 152,821.64/x
  3. Step 3: Cross multiply
    280,147.16x = 386,601.72 × 152,821.64
  4. Step 4: Simplify right side
    280,147.16x = 59,081,108,877.22
  5. Step 5: Solve for x
    x = 59,081,108,877.22/280,147.16
  6. Step 6: Final answer
    x = 210,893.12

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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.