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Finding the Fourth Proportional to 210,025.69, 315,101.10 and 97,772.24

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Solution

The fourth proportional to 210,025.69, 315,101.10 and 97,772.24 is: 146,687.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,025.69 : 315,101.10 = 97,772.24 : x
  2. Step 2: Convert to fraction form
    210,025.69/315,101.10 = 97,772.24/x
  3. Step 3: Cross multiply
    210,025.69x = 315,101.10 × 97,772.24
  4. Step 4: Simplify right side
    210,025.69x = 30,808,140,373.46
  5. Step 5: Solve for x
    x = 30,808,140,373.46/210,025.69
  6. Step 6: Final answer
    x = 146,687.49

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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.