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Finding the Fourth Proportional to 152,844.30, 229,266.45 and 142,476.30

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Solution

The fourth proportional to 152,844.30, 229,266.45 and 142,476.30 is: 213,714.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,844.30 : 229,266.45 = 142,476.30 : x
  2. Step 2: Convert to fraction form
    152,844.30/229,266.45 = 142,476.30/x
  3. Step 3: Cross multiply
    152,844.30x = 229,266.45 × 142,476.30
  4. Step 4: Simplify right side
    152,844.30x = 32,665,035,510.14
  5. Step 5: Solve for x
    x = 32,665,035,510.14/152,844.30
  6. Step 6: Final answer
    x = 213,714.45

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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.