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Finding the Fourth Proportional to 266,109.30, 398,952 and 153,661.86

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Solution

The fourth proportional to 266,109.30, 398,952 and 153,661.86 is: 230,370.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,109.30 : 398,952 = 153,661.86 : x
  2. Step 2: Convert to fraction form
    266,109.30/398,952 = 153,661.86/x
  3. Step 3: Cross multiply
    266,109.30x = 398,952 × 153,661.86
  4. Step 4: Simplify right side
    266,109.30x = 61,303,706,370.72
  5. Step 5: Solve for x
    x = 61,303,706,370.72/266,109.30
  6. Step 6: Final answer
    x = 230,370.40

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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.