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Finding the Fourth Proportional to 235,692, 353,064.96 and 117,004.32

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Solution

The fourth proportional to 235,692, 353,064.96 and 117,004.32 is: 175,271.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,692 : 353,064.96 = 117,004.32 : x
  2. Step 2: Convert to fraction form
    235,692/353,064.96 = 117,004.32/x
  3. Step 3: Cross multiply
    235,692x = 353,064.96 × 117,004.32
  4. Step 4: Simplify right side
    235,692x = 41,310,125,560.63
  5. Step 5: Solve for x
    x = 41,310,125,560.63/235,692
  6. Step 6: Final answer
    x = 175,271.65

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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.