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Finding the Fourth Proportional to 223,562.59, 308,305.47 and 146,946.31

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Solution

The fourth proportional to 223,562.59, 308,305.47 and 146,946.31 is: 202,647.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,562.59 : 308,305.47 = 146,946.31 : x
  2. Step 2: Convert to fraction form
    223,562.59/308,305.47 = 146,946.31/x
  3. Step 3: Cross multiply
    223,562.59x = 308,305.47 × 146,946.31
  4. Step 4: Simplify right side
    223,562.59x = 45,304,351,169.32
  5. Step 5: Solve for x
    x = 45,304,351,169.32/223,562.59
  6. Step 6: Final answer
    x = 202,647.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.