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Finding the Fourth Proportional to 280,924.67, 387,676.05 and 153,600.28

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Solution

The fourth proportional to 280,924.67, 387,676.05 and 153,600.28 is: 211,968.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,924.67 : 387,676.05 = 153,600.28 : x
  2. Step 2: Convert to fraction form
    280,924.67/387,676.05 = 153,600.28/x
  3. Step 3: Cross multiply
    280,924.67x = 387,676.05 × 153,600.28
  4. Step 4: Simplify right side
    280,924.67x = 59,547,149,829.29
  5. Step 5: Solve for x
    x = 59,547,149,829.29/280,924.67
  6. Step 6: Final answer
    x = 211,968.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.