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Finding the Fourth Proportional to 181,361.76, 272,088.72 and 106,545.16

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Solution

The fourth proportional to 181,361.76, 272,088.72 and 106,545.16 is: 159,844.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,361.76 : 272,088.72 = 106,545.16 : x
  2. Step 2: Convert to fraction form
    181,361.76/272,088.72 = 106,545.16/x
  3. Step 3: Cross multiply
    181,361.76x = 272,088.72 × 106,545.16
  4. Step 4: Simplify right side
    181,361.76x = 28,989,736,206.60
  5. Step 5: Solve for x
    x = 28,989,736,206.60/181,361.76
  6. Step 6: Final answer
    x = 159,844.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.