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Finding the Fourth Proportional to 235,300.40, 353,005.95 and 77,528.85

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Solution

The fourth proportional to 235,300.40, 353,005.95 and 77,528.85 is: 116,311.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,300.40 : 353,005.95 = 77,528.85 : x
  2. Step 2: Convert to fraction form
    235,300.40/353,005.95 = 77,528.85/x
  3. Step 3: Cross multiply
    235,300.40x = 353,005.95 × 77,528.85
  4. Step 4: Simplify right side
    235,300.40x = 27,368,143,581.63
  5. Step 5: Solve for x
    x = 27,368,143,581.63/235,300.40
  6. Step 6: Final answer
    x = 116,311.51

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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.