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Finding the Fourth Proportional to 201,677.40, 302,807.70 and 152,105.40

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Solution

The fourth proportional to 201,677.40, 302,807.70 and 152,105.40 is: 228,378.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,677.40 : 302,807.70 = 152,105.40 : x
  2. Step 2: Convert to fraction form
    201,677.40/302,807.70 = 152,105.40/x
  3. Step 3: Cross multiply
    201,677.40x = 302,807.70 × 152,105.40
  4. Step 4: Simplify right side
    201,677.40x = 46,058,686,331.58
  5. Step 5: Solve for x
    x = 46,058,686,331.58/201,677.40
  6. Step 6: Final answer
    x = 228,378.03

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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.