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Finding the Fourth Proportional to 164,513.80, 247,289.10 and 152,072.20

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Solution

The fourth proportional to 164,513.80, 247,289.10 and 152,072.20 is: 228,587.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,513.80 : 247,289.10 = 152,072.20 : x
  2. Step 2: Convert to fraction form
    164,513.80/247,289.10 = 152,072.20/x
  3. Step 3: Cross multiply
    164,513.80x = 247,289.10 × 152,072.20
  4. Step 4: Simplify right side
    164,513.80x = 37,605,797,473.02
  5. Step 5: Solve for x
    x = 37,605,797,473.02/164,513.80
  6. Step 6: Final answer
    x = 228,587.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.