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Finding the Fourth Proportional to 235,809.30, 353,859.75 and 95,569.14

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Solution

The fourth proportional to 235,809.30, 353,859.75 and 95,569.14 is: 143,412.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,809.30 : 353,859.75 = 95,569.14 : x
  2. Step 2: Convert to fraction form
    235,809.30/353,859.75 = 95,569.14/x
  3. Step 3: Cross multiply
    235,809.30x = 353,859.75 × 95,569.14
  4. Step 4: Simplify right side
    235,809.30x = 33,818,071,988.12
  5. Step 5: Solve for x
    x = 33,818,071,988.12/235,809.30
  6. Step 6: Final answer
    x = 143,412.80

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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.