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Finding the Fourth Proportional to 210,396.42, 290,345.52 and 114,903.12

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Solution

The fourth proportional to 210,396.42, 290,345.52 and 114,903.12 is: 158,565.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,396.42 : 290,345.52 = 114,903.12 : x
  2. Step 2: Convert to fraction form
    210,396.42/290,345.52 = 114,903.12/x
  3. Step 3: Cross multiply
    210,396.42x = 290,345.52 × 114,903.12
  4. Step 4: Simplify right side
    210,396.42x = 33,361,606,126.02
  5. Step 5: Solve for x
    x = 33,361,606,126.02/210,396.42
  6. Step 6: Final answer
    x = 158,565.46

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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.