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Finding the Fourth Proportional to 153,309.34, 211,573.85 and 85,330.66

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Solution

The fourth proportional to 153,309.34, 211,573.85 and 85,330.66 is: 117,760.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,309.34 : 211,573.85 = 85,330.66 : x
  2. Step 2: Convert to fraction form
    153,309.34/211,573.85 = 85,330.66/x
  3. Step 3: Cross multiply
    153,309.34x = 211,573.85 × 85,330.66
  4. Step 4: Simplify right side
    153,309.34x = 18,053,736,259.24
  5. Step 5: Solve for x
    x = 18,053,736,259.24/153,309.34
  6. Step 6: Final answer
    x = 117,760.19

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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.