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Finding the Fourth Proportional to 135,580.64, 187,038 and 85,307.36

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Solution

The fourth proportional to 135,580.64, 187,038 and 85,307.36 is: 117,684.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,580.64 : 187,038 = 85,307.36 : x
  2. Step 2: Convert to fraction form
    135,580.64/187,038 = 85,307.36/x
  3. Step 3: Cross multiply
    135,580.64x = 187,038 × 85,307.36
  4. Step 4: Simplify right side
    135,580.64x = 15,955,717,999.68
  5. Step 5: Solve for x
    x = 15,955,717,999.68/135,580.64
  6. Step 6: Final answer
    x = 117,684.34

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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.