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Finding the Fourth Proportional to 207,502.30, 311,253.45 and 155,014.30

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Solution

The fourth proportional to 207,502.30, 311,253.45 and 155,014.30 is: 232,521.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,502.30 : 311,253.45 = 155,014.30 : x
  2. Step 2: Convert to fraction form
    207,502.30/311,253.45 = 155,014.30/x
  3. Step 3: Cross multiply
    207,502.30x = 311,253.45 × 155,014.30
  4. Step 4: Simplify right side
    207,502.30x = 48,248,735,674.34
  5. Step 5: Solve for x
    x = 48,248,735,674.34/207,502.30
  6. Step 6: Final answer
    x = 232,521.45

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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.