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Finding the Fourth Proportional to 110,398.59, 152,012.67 and 83,214.18

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Solution

The fourth proportional to 110,398.59, 152,012.67 and 83,214.18 is: 114,581.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,398.59 : 152,012.67 = 83,214.18 : x
  2. Step 2: Convert to fraction form
    110,398.59/152,012.67 = 83,214.18/x
  3. Step 3: Cross multiply
    110,398.59x = 152,012.67 × 83,214.18
  4. Step 4: Simplify right side
    110,398.59x = 12,649,609,683.66
  5. Step 5: Solve for x
    x = 12,649,609,683.66/110,398.59
  6. Step 6: Final answer
    x = 114,581.26

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1.5x scale

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.