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Finding the Fourth Proportional to 235,746, 353,628.72 and 69,534

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Solution

The fourth proportional to 235,746, 353,628.72 and 69,534 is: 104,303.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,746 : 353,628.72 = 69,534 : x
  2. Step 2: Convert to fraction form
    235,746/353,628.72 = 69,534/x
  3. Step 3: Cross multiply
    235,746x = 353,628.72 × 69,534
  4. Step 4: Simplify right side
    235,746x = 24,589,219,416.48
  5. Step 5: Solve for x
    x = 24,589,219,416.48/235,746
  6. Step 6: Final answer
    x = 104,303.87

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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.