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Finding the Fourth Proportional to 201,484.59, 278,017.89 and 116,585.25

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Solution

The fourth proportional to 201,484.59, 278,017.89 and 116,585.25 is: 160,869.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,484.59 : 278,017.89 = 116,585.25 : x
  2. Step 2: Convert to fraction form
    201,484.59/278,017.89 = 116,585.25/x
  3. Step 3: Cross multiply
    201,484.59x = 278,017.89 × 116,585.25
  4. Step 4: Simplify right side
    201,484.59x = 32,412,785,210.12
  5. Step 5: Solve for x
    x = 32,412,785,210.12/201,484.59
  6. Step 6: Final answer
    x = 160,869.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.