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Finding the Fourth Proportional to 205,430.30, 308,145.46 and 55,670.59

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Solution

The fourth proportional to 205,430.30, 308,145.46 and 55,670.59 is: 83,505.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,430.30 : 308,145.46 = 55,670.59 : x
  2. Step 2: Convert to fraction form
    205,430.30/308,145.46 = 55,670.59/x
  3. Step 3: Cross multiply
    205,430.30x = 308,145.46 × 55,670.59
  4. Step 4: Simplify right side
    205,430.30x = 17,154,637,744.94
  5. Step 5: Solve for x
    x = 17,154,637,744.94/205,430.30
  6. Step 6: Final answer
    x = 83,505.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.