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Finding the Fourth Proportional to 235,368.16, 353,015.02 and 102,212.67

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Solution

The fourth proportional to 235,368.16, 353,015.02 and 102,212.67 is: 153,302.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,368.16 : 353,015.02 = 102,212.67 : x
  2. Step 2: Convert to fraction form
    235,368.16/353,015.02 = 102,212.67/x
  3. Step 3: Cross multiply
    235,368.16x = 353,015.02 × 102,212.67
  4. Step 4: Simplify right side
    235,368.16x = 36,082,607,744.30
  5. Step 5: Solve for x
    x = 36,082,607,744.30/235,368.16
  6. Step 6: Final answer
    x = 153,302.84

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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.