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Finding the Fourth Proportional to 133,702.38, 184,536.63 and 77,106.06

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Solution

The fourth proportional to 133,702.38, 184,536.63 and 77,106.06 is: 106,422.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,702.38 : 184,536.63 = 77,106.06 : x
  2. Step 2: Convert to fraction form
    133,702.38/184,536.63 = 77,106.06/x
  3. Step 3: Cross multiply
    133,702.38x = 184,536.63 × 77,106.06
  4. Step 4: Simplify right side
    133,702.38x = 14,228,892,464.98
  5. Step 5: Solve for x
    x = 14,228,892,464.98/133,702.38
  6. Step 6: Final answer
    x = 106,422.13

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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.