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Finding the Fourth Proportional to 207,130.40, 285,535.68 and 146,514.32

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Solution

The fourth proportional to 207,130.40, 285,535.68 and 146,514.32 is: 201,974.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,130.40 : 285,535.68 = 146,514.32 : x
  2. Step 2: Convert to fraction form
    207,130.40/285,535.68 = 146,514.32/x
  3. Step 3: Cross multiply
    207,130.40x = 285,535.68 × 146,514.32
  4. Step 4: Simplify right side
    207,130.40x = 41,835,065,990.94
  5. Step 5: Solve for x
    x = 41,835,065,990.94/207,130.40
  6. Step 6: Final answer
    x = 201,974.53

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