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Finding the Fourth Proportional to 152,281.17, 210,243.62 and 97,857.68

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Solution

The fourth proportional to 152,281.17, 210,243.62 and 97,857.68 is: 135,105.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,281.17 : 210,243.62 = 97,857.68 : x
  2. Step 2: Convert to fraction form
    152,281.17/210,243.62 = 97,857.68/x
  3. Step 3: Cross multiply
    152,281.17x = 210,243.62 × 97,857.68
  4. Step 4: Simplify right side
    152,281.17x = 20,573,951,347.50
  5. Step 5: Solve for x
    x = 20,573,951,347.50/152,281.17
  6. Step 6: Final answer
    x = 135,105.03

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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.