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Finding the Fourth Proportional to 201,897.70, 302,263.35 and 123,165.70

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Solution

The fourth proportional to 201,897.70, 302,263.35 and 123,165.70 is: 184,392.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,897.70 : 302,263.35 = 123,165.70 : x
  2. Step 2: Convert to fraction form
    201,897.70/302,263.35 = 123,165.70/x
  3. Step 3: Cross multiply
    201,897.70x = 302,263.35 × 123,165.70
  4. Step 4: Simplify right side
    201,897.70x = 37,228,477,087.10
  5. Step 5: Solve for x
    x = 37,228,477,087.10/201,897.70
  6. Step 6: Final answer
    x = 184,392.77

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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.