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Finding the Fourth Proportional to 210,462.89, 290,435.15 and 114,967.13

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Solution

The fourth proportional to 210,462.89, 290,435.15 and 114,967.13 is: 158,652.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,462.89 : 290,435.15 = 114,967.13 : x
  2. Step 2: Convert to fraction form
    210,462.89/290,435.15 = 114,967.13/x
  3. Step 3: Cross multiply
    210,462.89x = 290,435.15 × 114,967.13
  4. Step 4: Simplify right side
    210,462.89x = 33,390,495,071.78
  5. Step 5: Solve for x
    x = 33,390,495,071.78/210,462.89
  6. Step 6: Final answer
    x = 158,652.65

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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.