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Finding the Fourth Proportional to 282,383.76, 423,590.16 and 72,023.52

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Solution

The fourth proportional to 282,383.76, 423,590.16 and 72,023.52 is: 108,038.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,383.76 : 423,590.16 = 72,023.52 : x
  2. Step 2: Convert to fraction form
    282,383.76/423,590.16 = 72,023.52/x
  3. Step 3: Cross multiply
    282,383.76x = 423,590.16 × 72,023.52
  4. Step 4: Simplify right side
    282,383.76x = 30,508,454,360.56
  5. Step 5: Solve for x
    x = 30,508,454,360.56/282,383.76
  6. Step 6: Final answer
    x = 108,038.98

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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.