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Finding the Fourth Proportional to 310,141.56, 465,207.06 and 176,737.26

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Solution

The fourth proportional to 310,141.56, 465,207.06 and 176,737.26 is: 265,102.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,141.56 : 465,207.06 = 176,737.26 : x
  2. Step 2: Convert to fraction form
    310,141.56/465,207.06 = 176,737.26/x
  3. Step 3: Cross multiply
    310,141.56x = 465,207.06 × 176,737.26
  4. Step 4: Simplify right side
    310,141.56x = 82,219,421,117.06
  5. Step 5: Solve for x
    x = 82,219,421,117.06/310,141.56
  6. Step 6: Final answer
    x = 265,102.88

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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.