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Finding the Fourth Proportional to 235,271.78, 352,709.18 and 102,051.76

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Solution

The fourth proportional to 235,271.78, 352,709.18 and 102,051.76 is: 152,991.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,271.78 : 352,709.18 = 102,051.76 : x
  2. Step 2: Convert to fraction form
    235,271.78/352,709.18 = 102,051.76/x
  3. Step 3: Cross multiply
    235,271.78x = 352,709.18 × 102,051.76
  4. Step 4: Simplify right side
    235,271.78x = 35,994,592,587.16
  5. Step 5: Solve for x
    x = 35,994,592,587.16/235,271.78
  6. Step 6: Final answer
    x = 152,991.54

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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.