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Finding the Fourth Proportional to 214,242.24, 295,653.52 and 118,748

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Solution

The fourth proportional to 214,242.24, 295,653.52 and 118,748 is: 163,871.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,242.24 : 295,653.52 = 118,748 : x
  2. Step 2: Convert to fraction form
    214,242.24/295,653.52 = 118,748/x
  3. Step 3: Cross multiply
    214,242.24x = 295,653.52 × 118,748
  4. Step 4: Simplify right side
    214,242.24x = 35,108,264,192.96
  5. Step 5: Solve for x
    x = 35,108,264,192.96/214,242.24
  6. Step 6: Final answer
    x = 163,871.81

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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.