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Finding the Fourth Proportional to 201,565.67, 278,153.65 and 110,913.16

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Solution

The fourth proportional to 201,565.67, 278,153.65 and 110,913.16 is: 153,056.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,565.67 : 278,153.65 = 110,913.16 : x
  2. Step 2: Convert to fraction form
    201,565.67/278,153.65 = 110,913.16/x
  3. Step 3: Cross multiply
    201,565.67x = 278,153.65 × 110,913.16
  4. Step 4: Simplify right side
    201,565.67x = 30,850,898,341.70
  5. Step 5: Solve for x
    x = 30,850,898,341.70/201,565.67
  6. Step 6: Final answer
    x = 153,056.32

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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.