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Finding the Fourth Proportional to 153,290.32, 211,538.70 and 85,305.60

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Solution

The fourth proportional to 153,290.32, 211,538.70 and 85,305.60 is: 117,720.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,290.32 : 211,538.70 = 85,305.60 : x
  2. Step 2: Convert to fraction form
    153,290.32/211,538.70 = 85,305.60/x
  3. Step 3: Cross multiply
    153,290.32x = 211,538.70 × 85,305.60
  4. Step 4: Simplify right side
    153,290.32x = 18,045,435,726.72
  5. Step 5: Solve for x
    x = 18,045,435,726.72/153,290.32
  6. Step 6: Final answer
    x = 117,720.65

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