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Finding the Fourth Proportional to 181,411.80, 272,117.70 and 146,419.80

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Solution

The fourth proportional to 181,411.80, 272,117.70 and 146,419.80 is: 219,629.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,411.80 : 272,117.70 = 146,419.80 : x
  2. Step 2: Convert to fraction form
    181,411.80/272,117.70 = 146,419.80/x
  3. Step 3: Cross multiply
    181,411.80x = 272,117.70 × 146,419.80
  4. Step 4: Simplify right side
    181,411.80x = 39,843,419,210.46
  5. Step 5: Solve for x
    x = 39,843,419,210.46/181,411.80
  6. Step 6: Final answer
    x = 219,629.70

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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.