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Finding the Fourth Proportional to 153,293.40, 211,543.33 and 85,309.21

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Solution

The fourth proportional to 153,293.40, 211,543.33 and 85,309.21 is: 117,725.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,293.40 : 211,543.33 = 85,309.21 : x
  2. Step 2: Convert to fraction form
    153,293.40/211,543.33 = 85,309.21/x
  3. Step 3: Cross multiply
    153,293.40x = 211,543.33 × 85,309.21
  4. Step 4: Simplify right side
    153,293.40x = 18,046,594,363.07
  5. Step 5: Solve for x
    x = 18,046,594,363.07/153,293.40
  6. Step 6: Final answer
    x = 117,725.84

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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.