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Finding the Fourth Proportional to 223,907.28, 335,938.68 and 99,335.76

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Solution

The fourth proportional to 223,907.28, 335,938.68 and 99,335.76 is: 149,038.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,907.28 : 335,938.68 = 99,335.76 : x
  2. Step 2: Convert to fraction form
    223,907.28/335,938.68 = 99,335.76/x
  3. Step 3: Cross multiply
    223,907.28x = 335,938.68 × 99,335.76
  4. Step 4: Simplify right side
    223,907.28x = 33,370,724,091.20
  5. Step 5: Solve for x
    x = 33,370,724,091.20/223,907.28
  6. Step 6: Final answer
    x = 149,038.14

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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.