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Finding the Fourth Proportional to 275,424.04, 380,076.65 and 152,913.77

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Solution

The fourth proportional to 275,424.04, 380,076.65 and 152,913.77 is: 211,016.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,424.04 : 380,076.65 = 152,913.77 : x
  2. Step 2: Convert to fraction form
    275,424.04/380,076.65 = 152,913.77/x
  3. Step 3: Cross multiply
    275,424.04x = 380,076.65 × 152,913.77
  4. Step 4: Simplify right side
    275,424.04x = 58,118,952,200.81
  5. Step 5: Solve for x
    x = 58,118,952,200.81/275,424.04
  6. Step 6: Final answer
    x = 211,016.26

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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.