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Finding the Fourth Proportional to 214,085.56, 295,434.12 and 118,590.16

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Solution

The fourth proportional to 214,085.56, 295,434.12 and 118,590.16 is: 163,652.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,085.56 : 295,434.12 = 118,590.16 : x
  2. Step 2: Convert to fraction form
    214,085.56/295,434.12 = 118,590.16/x
  3. Step 3: Cross multiply
    214,085.56x = 295,434.12 × 118,590.16
  4. Step 4: Simplify right side
    214,085.56x = 35,035,579,560.26
  5. Step 5: Solve for x
    x = 35,035,579,560.26/214,085.56
  6. Step 6: Final answer
    x = 163,652.23

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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.